45x^2-37x-56=0

Solution for 45x^2-37x-56=0 equation:

45x^2-37x-56=0

a = 45; b = -37; c = -56;
Δ = b2-4ac
Δ = -372-4·45·(-56)
Δ = 11449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11449}=107$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-107}{2*45}=\frac{-70}{90}
=-7/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+107}{2*45}=\frac{144}{90}
=1+3/5
$