15x2-17x+4=0

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Solution for 15x2-17x+4=0 equation:



15x^2-17x+4=0
a = 15; b = -17; c = +4;
Δ = b2-4ac
Δ = -172-4·15·4
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-7}{2*15}=\frac{10}{30} =1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+7}{2*15}=\frac{24}{30} =4/5 $

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