35x^2-31x=24

Solution for 35x^2-31x=24 equation:

35x^2-31x=24

We move all terms to the left:

35x^2-31x-(24)=0

a = 35; b = -31; c = -24;
Δ = b2-4ac
Δ = -312-4·35·(-24)
Δ = 4321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-\sqrt{4321}}{2*35}=\frac{31-\sqrt{4321}}{70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+\sqrt{4321}}{2*35}=\frac{31+\sqrt{4321}}{70}
$