x^2-7x=588

Solution for x^2-7x=588 equation:

x^2-7x=588

We move all terms to the left:

x^2-7x-(588)=0

a = 1; b = -7; c = -588;
Δ = b2-4ac
Δ = -72-4·1·(-588)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-49}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+49}{2*1}=\frac{56}{2}
=28
$