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"Hello! ?? A math degree and a retired musician is such a great combination. With strategy and patterns, math, chess, and poker all work well together. I'm eager to see your thoughts on this.
Welcome on board! ? You're really welcome here. There are many helpful people in this group, and I do not doubt that you will learn a lot while also contributing your own perspectives. Eager to learn with you!
Nice to meet you, too! Wishing you all the best as you start 11th grade — it’s a big step, and you’ve got this! ?
Greetings! ? Whereas linear equations of the form y = mx + c and graph as straight lines, quadratic functions are equations such as y = ax² + bx + c that graph as parabolas. Both are fundamental concepts in mathematics; begin with linear equations because they are easier to understand, and then proceed to quadratics to learn how graphs can curve.
When combining polynomials, I like the vertical method because it reduces errors by clearly aligning like terms.
Because it's faster and requires less steps than FOIL, I like to commit the rule for the square of a binomial to memory.
For exactly one solution:
If
A≠D: (B−E)^2-4(A−D)(C−F)=0
If A=D: then B≠E
Other cases give none or infinitely many solutions.
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