x2-70x-7550=0

Solution for x2-70x-7550=0 equation:

x2-70x-7550=0

We add all the numbers together, and all the variables

x^2-70x-7550=0

a = 1; b = -70; c = -7550;
Δ = b2-4ac
Δ = -702-4·1·(-7550)
Δ = 35100
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:

$\sqrt{\Delta}=\sqrt{35100}=\sqrt{900*39}=\sqrt{900}*\sqrt{39}=30\sqrt{39}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-30\sqrt{39}}{2*1}=\frac{70-30\sqrt{39}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+30\sqrt{39}}{2*1}=\frac{70+30\sqrt{39}}{2}
$