Question

Solve for x. use the completing the square method.

x^2+8x=5

Answer 1

`x^2+8x=5`


`x^2+8x + ( (8)/(2) )^2 =5 + ((8)/(2) )^2`


`x^2+8x + (4)^2 =5 + (4)^2`


`(x+ 4)^2 =21`


`x+ 4 = \pm √(21)`


`x = √(21) - 4 \ or \ x= -√(21) - 4`


`x = 0.58 \ or \ x= -8.58`