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