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4x(x+11)=56
We move all terms to the left:
4x(x+11)-(56)=0
We multiply parentheses
4x^2+44x-56=0
a = 4; b = 44; c = -56;
Δ = b2-4ac
Δ = 442-4·4·(-56)
Δ = 2832
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2832}=\sqrt{16*177}=\sqrt{16}*\sqrt{177}=4\sqrt{177}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-4\sqrt{177}}{2*4}=\frac{-44-4\sqrt{177}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+4\sqrt{177}}{2*4}=\frac{-44+4\sqrt{177}}{8} $
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