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-4(-30+11x+x2)=0
We add all the numbers together, and all the variables
-4(+11x+x^2-30)=0
We multiply parentheses
-4x^2-44x+120=0
a = -4; b = -44; c = +120;
Δ = b2-4ac
Δ = -442-4·(-4)·120
Δ = 3856
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3856}=\sqrt{16*241}=\sqrt{16}*\sqrt{241}=4\sqrt{241}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4\sqrt{241}}{2*-4}=\frac{44-4\sqrt{241}}{-8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4\sqrt{241}}{2*-4}=\frac{44+4\sqrt{241}}{-8} $
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