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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi;

.

636. Find the area of a triangle whose vertices are A(3,2), B(11,8), and C(8,12).

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi;

The solution 636 is perfect. Excellent, bobbym!

637. Solve:

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi;

The solution 637 (two values) is correct. Neat work, bobbym!

638. If

are the zeroes of the quadratic polynomial , find the value of.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi;

The solution 638 is correct. Brilliant!

639. If 1 is a root of the quadratic equation

and the quadratic equation has equal roots, find the value of b.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

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**NakulG****Member**- Registered: 2014-09-02
- Posts: 186

ganesh wrote:

Hi;

622. Evaluate:

.

Hi, Can someone show me the working for the above question?

Thanks

Nakul

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Try expanding where are coefficients you should try to determine.

**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

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**NakulG****Member**- Registered: 2014-09-02
- Posts: 186

Thanks it worked :-)

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

zetafunc wrote:

The solution 639 is correct. Excellent, zetafunc!

640. For what value of k is (x - 5) a factor of

?Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 1,629

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

Good attempt, Monox D. I-Fly! Almost there!

641. If each interior angle of a regular polygon is 135°, find the number of diagonals of the polygon.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

642. Find the other polynomial q(x), given the LCM (Least Common Multiple), GCD (Greatest Common Divisor), and one polynomial p(x) respectively.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

.

643. Solve 2x + 3y = 11 and 2x - 4y = -24, and then solve for the value of m for which y = mx + 3.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 1,629

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

Excellent, Monox D. I-Fly! 643 is correct!

644. Solve: x + y = 5 and 2x - 3y = 4.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

.

645. For what values of a and b does the following pair of linear equations have infinite number of solutions?

2x + 3y = 7

and

(a - b)x + (a + b)y = 3a + b - 2.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

646. For what value of k will the following pair of linear equations have no solution?

3x + y = 1.

(2k - 1)x + (k - 1)y = 2k + 1.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 28,275

Hi,

647. The distance between the points (3, 1) and (0, x) is 5 units. Find x.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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