2x^2+10x-26=0

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Solution for 2x^2+10x-26=0 equation:



2x^2+10x-26=0
a = 2; b = 10; c = -26;
Δ = b2-4ac
Δ = 102-4·2·(-26)
Δ = 308
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:
$\sqrt{\Delta}=\sqrt{308}=\sqrt{4*77}=\sqrt{4}*\sqrt{77}=2\sqrt{77}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{77}}{2*2}=\frac{-10-2\sqrt{77}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{77}}{2*2}=\frac{-10+2\sqrt{77}}{4} $

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