5x^2+26x+7=0

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Solution for 5x^2+26x+7=0 equation:



5x^2+26x+7=0
a = 5; b = 26; c = +7;
Δ = b2-4ac
Δ = 262-4·5·7
Δ = 536
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:
$\sqrt{\Delta}=\sqrt{536}=\sqrt{4*134}=\sqrt{4}*\sqrt{134}=2\sqrt{134}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{134}}{2*5}=\frac{-26-2\sqrt{134}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{134}}{2*5}=\frac{-26+2\sqrt{134}}{10} $

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