7x^2+76x-1120=0

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Solution for 7x^2+76x-1120=0 equation:



7x^2+76x-1120=0
a = 7; b = 76; c = -1120;
Δ = b2-4ac
Δ = 762-4·7·(-1120)
Δ = 37136
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:
$\sqrt{\Delta}=\sqrt{37136}=\sqrt{16*2321}=\sqrt{16}*\sqrt{2321}=4\sqrt{2321}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-4\sqrt{2321}}{2*7}=\frac{-76-4\sqrt{2321}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+4\sqrt{2321}}{2*7}=\frac{-76+4\sqrt{2321}}{14} $

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