Question

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

Answer 1

Answer: (x+5)^2-22

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.

Answer 2

(x+5)^2-22

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