X^2-15x=76

Solution for X^2-15x=76 equation:

X^2-15X=76

We move all terms to the left:

X^2-15X-(76)=0

a = 1; b = -15; c = -76;
Δ = b2-4ac
Δ = -152-4·1·(-76)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-23}{2*1}=\frac{-8}{2}
=-4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+23}{2*1}=\frac{38}{2}
=19
$