x^2-70x+120=0

Solution for x^2-70x+120=0 equation:

x^2-70x+120=0

a = 1; b = -70; c = +120;
Δ = b2-4ac
Δ = -702-4·1·120
Δ = 4420
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4420}=\sqrt{4*1105}=\sqrt{4}*\sqrt{1105}=2\sqrt{1105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-2\sqrt{1105}}{2*1}=\frac{70-2\sqrt{1105}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+2\sqrt{1105}}{2*1}=\frac{70+2\sqrt{1105}}{2}
$