x2-70x-6000=0

Solution for x2-70x-6000=0 equation:

x2-70x-6000=0

We add all the numbers together, and all the variables

x^2-70x-6000=0

a = 1; b = -70; c = -6000;
Δ = b2-4ac
Δ = -702-4·1·(-6000)
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-170}{2*1}=\frac{-100}{2}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+170}{2*1}=\frac{240}{2}
=120
$