SOLUTION: Hello, I'm doing my homework and I came across the problem "Find the values of a, b, c,and d that make the equation (x^2+ax+2b)+(a^2-2bx+3a)=cx^2-7x+3 true" How would I solve this

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I'm doing my homework and I came across the problem "Find the values of a, b, c,and d that make the equation (x^2+ax+2b)+(a^2-2bx+3a)=cx^2-7x+3 true" How would I solve this      Log On


   

Question 1149860: Hello,
I'm doing my homework and I came across the problem "Find the values of a, b, c,and d that make the equation (x^2+ax+2b)+(a^2-2bx+3a)=cx^2-7x+3 true" How would I solve this?
Thank you,
Leah
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
You want to combine the left hand side then compare coefficients of x%5E2,
x, and the constant terms to the corresponding values found on the right hand side. Set corresponding values equal to each other.

For example, as written, there is only one x%5E2 term on the left, and only cx%5E2 on the right, so c=1, by comparing the +x%5E2+ terms on both sides.


As a template, to help you visualize:

+%28A%2BB%29x%5E2+%2B+Bx+%2B+C++=++12x%5E2+%2B+2x+-+5+
then:
+A%2BB+=+12+
++B+=+2+
++C+=+-5+


I am moving away from just answering questions outright, instead giving the student either a partial answer or an illustrative example.


Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Hello,
I'm doing my homework and I came across the problem "Find the values of a, b, c,and d that make the equation (x^2+ax+2b)+(a^2-2bx+3a)=cx^2-7x+3 true" How would I solve this?
Thank you,
Leah
There's no "d." What happened to it, or does it NOT exist at all?