Question

Rewrite the equation by completing the square x^2+2x-35=0

Answer 1

Answer: $x^2+2x+1=36$

Step-by-step explanation:

$x^2+2x-35=0$

add 35 on both sides.

$x^2+2x-35+35=0+35$

$x^2+2x=35$

take the value of b (2) divide it by 2 and square it.

$x^2+2x+(\frac{b}{2})^2 =35+(\frac{b}{2})^2$

$x^2+2x+(\frac{2}{2})^2 =35+(\frac{2}{2})^2$

$x^2+2x+(1)^2=35+(1)^2\\x^2+2x+1=35+1\\x^2+2x+1=36$