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8x^2-21x-75=0
a = 8; b = -21; c = -75;
Δ = b2-4ac
Δ = -212-4·8·(-75)
Δ = 2841
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{-(-21)-\sqrt{2841}}{2*8}=\frac{21-\sqrt{2841}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{2841}}{2*8}=\frac{21+\sqrt{2841}}{16} $
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