Question

Complete the square on the following quadratic
X^2 + 10x + 2 = 0
What value is added to both sides of the equation?

Answer 1

$x^{2} +10x+2=0$

$x^{2} +2*5*x+2=0$

$x^{2} +2*5*x+ 5^{2} -5^{2}+2=0$

$x^{2} +2*5*x+ 5^{2}+2= 5^{2}$

$(x+5)^{2}+2=25$

$(x+5)^{2}=23$

Answer: $(x+5)^{2}-23=0$, the value added to both sides is 25