x^2-7x=170

Solution for x^2-7x=170 equation:

x^2-7x=170

We move all terms to the left:

x^2-7x-(170)=0

a = 1; b = -7; c = -170;
Δ = b2-4ac
Δ = -72-4·1·(-170)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-27}{2*1}=\frac{-20}{2}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+27}{2*1}=\frac{34}{2}
=17
$