7-33x-10x^2=0

Solution for 7-33x-10x^2=0 equation:

7-33x-10x^2=0

a = -10; b = -33; c = +7;
Δ = b2-4ac
Δ = -332-4·(-10)·7
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-37}{2*-10}=\frac{-4}{-20}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+37}{2*-10}=\frac{70}{-20}
=-3+1/2
$