12x^2+76x+55=0

Solution for 12x^2+76x+55=0 equation:

12x^2+76x+55=0

a = 12; b = 76; c = +55;
Δ = b2-4ac
Δ = 762-4·12·55
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-56}{2*12}=\frac{-132}{24}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+56}{2*12}=\frac{-20}{24}
=-5/6
$