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x^2+88x-11250=0
a = 1; b = 88; c = -11250;
Δ = b2-4ac
Δ = 882-4·1·(-11250)
Δ = 52744
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{52744}=\sqrt{4*13186}=\sqrt{4}*\sqrt{13186}=2\sqrt{13186}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-2\sqrt{13186}}{2*1}=\frac{-88-2\sqrt{13186}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+2\sqrt{13186}}{2*1}=\frac{-88+2\sqrt{13186}}{2} $
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