X^2+70x+144=0

Solution for X^2+70x+144=0 equation:

X^2+70X+144=0

a = 1; b = 70; c = +144;
Δ = b2-4ac
Δ = 702-4·1·144
Δ = 4324
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:

$\sqrt{\Delta}=\sqrt{4324}=\sqrt{4*1081}=\sqrt{4}*\sqrt{1081}=2\sqrt{1081}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-2\sqrt{1081}}{2*1}=\frac{-70-2\sqrt{1081}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+2\sqrt{1081}}{2*1}=\frac{-70+2\sqrt{1081}}{2}
$