7x^2-5x-750=0

Solution for 7x^2-5x-750=0 equation:

7x^2-5x-750=0

a = 7; b = -5; c = -750;
Δ = b2-4ac
Δ = -52-4·7·(-750)
Δ = 21025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21025}=145$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-145}{2*7}=\frac{-140}{14}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+145}{2*7}=\frac{150}{14}
=10+5/7
$