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#1 2007-02-20 15:43:14



Algebra Ex.2

1. Find the value of m such that the equation
x-2(5+2m)x+3(7+10m) = 0 has equal roots.

2. If a, b are the roots of the equation x+px+1=0 and c,d are the roots of the equation x+qx+1=0, show that
q-p = (a-c)(b-c)(a+d)(b+d).

3. Find the greatest and the least values of the expression

for real values of x.

4. If the roots of the equation ax+cx+c=0 be in the ratio m:n, prove that

5. If the equations x+bx+ca=0 and x+cx+ab=0 have a common root, show that their roots will satisfy the equation x+ax+bc=0.

Character is who you are when no one is looking.

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