x^2-9x-972=0

Solution for x^2-9x-972=0 equation:

x^2-9x-972=0

a = 1; b = -9; c = -972;
Δ = b2-4ac
Δ = -92-4·1·(-972)
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-63}{2*1}=\frac{-54}{2}
=-27
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+63}{2*1}=\frac{72}{2}
=36
$