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1x^2-75x-44=0
We add all the numbers together, and all the variables
x^2-75x-44=0
a = 1; b = -75; c = -44;
Δ = b2-4ac
Δ = -752-4·1·(-44)
Δ = 5801
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-\sqrt{5801}}{2*1}=\frac{75-\sqrt{5801}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+\sqrt{5801}}{2*1}=\frac{75+\sqrt{5801}}{2} $
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