Question

Solve for x. use the completing the square method.x^2+8x=5

Answer 1

$x^2+8x=5$

$x^2+8x + ( \frac{8}{2} )^2 =5 + (\frac{8}{2} )^2$

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

$(x+ 4)^2 =21$

$x+ 4 = \pm \sqrt{21}$

$x = \sqrt{21} - 4 \ or \ x= -\sqrt{21} - 4$

$x = 0.58 \ or \ x= -8.58$