15x^2+10x-68=0

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Solution for 15x^2+10x-68=0 equation:



15x^2+10x-68=0
a = 15; b = 10; c = -68;
Δ = b2-4ac
Δ = 102-4·15·(-68)
Δ = 4180
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:
$\sqrt{\Delta}=\sqrt{4180}=\sqrt{4*1045}=\sqrt{4}*\sqrt{1045}=2\sqrt{1045}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{1045}}{2*15}=\frac{-10-2\sqrt{1045}}{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{1045}}{2*15}=\frac{-10+2\sqrt{1045}}{30} $

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