What is x²+10x + 3 in the form (x+a) ²+b, where a and b are constants.

Question

Mathematics

Brenna Farmer

15 October, 20:40

What is x²+10x + 3 in the form (x+a) ²+b, where a and b are constants.

+5

Answers (2)

Know the Answer?

Abigail Wilcox · Answer 1

Answer: (x+5) ^2-22

Step-by-step explanation:

This question asks us to complete the square. To do this, we need to factor a square in the form of x^2+10x+c, where c is some number. Dividing 10/2, (x+10/2) ^2 = (x+5) ^2 = x^2+10x+25. However, the original equation is + 3, not + 25. To compensate for this, we have to subtract 22 to get (x+5) ^2-22.

Olive Powell · Answer 2

(x+5) ^2-22

Step-by-step explanation:

first, look at what you have, x^2+10x+3. you know that 10x is 5x*2 so you can say that your (x+a) ^2 part is (x+5) ^2 then, you know that 5 squared is 25 but you have + 3. so you subract 22. a=5, b=-22