Question

Which is the vertex of x2+10x=−17?

Answer 1

if u want vertex of parabola,the equation should be

$y = {x}^{2} + 10x + 17$

then

$\frac{dy}{dx} = 2x + 10 = 0$

$x = - 5$

then

$y = 25 - 50 + 17$

$= - 8$

so vertex is

$( - 5 \: \: - 8)$