2x^2+55x-87=0

Solution for 2x^2+55x-87=0 equation:

2x^2+55x-87=0

a = 2; b = 55; c = -87;
Δ = b2-4ac
Δ = 552-4·2·(-87)
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{-(55)-61}{2*2}=\frac{-116}{4}
=-29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+61}{2*2}=\frac{6}{4}
=1+1/2
$