12x2+35x-52=0

Solution for 12x2+35x-52=0 equation:

12x^2+35x-52=0

a = 12; b = 35; c = -52;
Δ = b2-4ac
Δ = 352-4·12·(-52)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-61}{2*12}=\frac{-96}{24}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+61}{2*12}=\frac{26}{24}
=1+1/12
$