15x^2+4x-320=0

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Solution for 15x^2+4x-320=0 equation:



15x^2+4x-320=0
a = 15; b = 4; c = -320;
Δ = b2-4ac
Δ = 42-4·15·(-320)
Δ = 19216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{19216}=\sqrt{16*1201}=\sqrt{16}*\sqrt{1201}=4\sqrt{1201}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{1201}}{2*15}=\frac{-4-4\sqrt{1201}}{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{1201}}{2*15}=\frac{-4+4\sqrt{1201}}{30} $

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