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-16x^2+151x-88=0
a = -16; b = 151; c = -88;
Δ = b2-4ac
Δ = 1512-4·(-16)·(-88)
Δ = 17169
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{-(151)-\sqrt{17169}}{2*-16}=\frac{-151-\sqrt{17169}}{-32} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(151)+\sqrt{17169}}{2*-16}=\frac{-151+\sqrt{17169}}{-32} $
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