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-16x^2+105x+34=0
a = -16; b = 105; c = +34;
Δ = b2-4ac
Δ = 1052-4·(-16)·34
Δ = 13201
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{-(105)-\sqrt{13201}}{2*-16}=\frac{-105-\sqrt{13201}}{-32} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+\sqrt{13201}}{2*-16}=\frac{-105+\sqrt{13201}}{-32} $
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