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11x^2+374x=9537
We move all terms to the left:
11x^2+374x-(9537)=0
a = 11; b = 374; c = -9537;
Δ = b2-4ac
Δ = 3742-4·11·(-9537)
Δ = 559504
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{559504}=748$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(374)-748}{2*11}=\frac{-1122}{22} =-51 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(374)+748}{2*11}=\frac{374}{22} =17 $
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