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16x^2-11x-480=0
a = 16; b = -11; c = -480;
Δ = b2-4ac
Δ = -112-4·16·(-480)
Δ = 30841
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{-(-11)-\sqrt{30841}}{2*16}=\frac{11-\sqrt{30841}}{32} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{30841}}{2*16}=\frac{11+\sqrt{30841}}{32} $
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