Question

Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial. x2 + 8x + 9 = - ­9 ?

x2 + 8x + 16 = 16

x2 + 8x + 16 =- ­2

x2 + 8x + 64 = 46

x2 + 8x + 64 = 64

Answer 1

`x^2+8x+16=-2`

Explanation:

`"using the method of "color(blue)"completing the square"`

`x^2+2(4)xcolor(red)(+16)color(red)(-16)+9=-9`

`rArrx^2+8x+16-7=-9`

`rArrx^2+8x+16=-9+7`

`rArrx^2+8x+16=-2`