8x^2+28x-150=0

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Solution for 8x^2+28x-150=0 equation:



8x^2+28x-150=0
a = 8; b = 28; c = -150;
Δ = b2-4ac
Δ = 282-4·8·(-150)
Δ = 5584
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:
$\sqrt{\Delta}=\sqrt{5584}=\sqrt{16*349}=\sqrt{16}*\sqrt{349}=4\sqrt{349}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-4\sqrt{349}}{2*8}=\frac{-28-4\sqrt{349}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+4\sqrt{349}}{2*8}=\frac{-28+4\sqrt{349}}{16} $

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