Question

Solve the following inequality:
$x^2-2x-63⩽0$

Answer 1

The given inequality is

$x^2-2x-63\le 0$

Now solve for $x^2-2x-63=0$

$x^2-9x+7x-63=0$

$x(x-9)+7(x-9)=0$

$(x-9)(x+7)=0$

$(x-9)=0$

$x=9$

$(x+7)=0$

$x=-7$

so the final value for x for the equation $x^2-2x-63\le 0$

$x\in [-7,9]$ answer