SOLUTION: Hi! Given that x^2-14x+a=(x+b)^2 for all values of x, find the value of a and the value of b. I find this one very difficult, so it would be lovely if you can help me. I´

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Question 894322: Hi!
Given that
x^2-14x+a=(x+b)^2 for all values of x, find the value of a and the value of b.
I find this one very difficult, so it would be lovely if you can help me.
I´ve tried to solve it with quadratic equation and I have tried to split in to two equations.
Thank you!
Klara

Found 2 solutions by reviewermath, Okeke_Christian:
Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Question:
Given that
x^2-14x+a=(x+b)^2 for all values of x, find the value of a and the value of b.
Answer:

Therefore,
2b = -14 and
b = -7 and
and

Answer by Okeke_Christian(26)   (Show Source): You can put this solution on YOUR website!

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