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-4x^2+3x+150=0
a = -4; b = 3; c = +150;
Δ = b2-4ac
Δ = 32-4·(-4)·150
Δ = 2409
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{-(3)-\sqrt{2409}}{2*-4}=\frac{-3-\sqrt{2409}}{-8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{2409}}{2*-4}=\frac{-3+\sqrt{2409}}{-8} $
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