5x^2-54x+88=0

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Solution for 5x^2-54x+88=0 equation: 



5x^2-54x+88=0

a = 5; b = -54; c = +88;
Δ = b2-4ac
Δ = -542-4·5·88
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-34}{2*5}=\frac{20}{10}
=2
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+34}{2*5}=\frac{88}{10}
=8+4/5
$

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