X2-70x+600=0

Solution for X2-70x+600=0 equation:

X2-70X+600=0

We add all the numbers together, and all the variables

X^2-70X+600=0

a = 1; b = -70; c = +600;
Δ = b2-4ac
Δ = -702-4·1·600
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-50}{2*1}=\frac{20}{2}
=10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+50}{2*1}=\frac{120}{2}
=60
$