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X^2-38X-1575=0
a = 1; b = -38; c = -1575;
Δ = b2-4ac
Δ = -382-4·1·(-1575)
Δ = 7744
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{7744}=88$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-88}{2*1}=\frac{-50}{2} =-25 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+88}{2*1}=\frac{126}{2} =63 $
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