15x2-40x+15=0

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Solution for 15x2-40x+15=0 equation:



15x^2-40x+15=0
a = 15; b = -40; c = +15;
Δ = b2-4ac
Δ = -402-4·15·15
Δ = 700
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:
$\sqrt{\Delta}=\sqrt{700}=\sqrt{100*7}=\sqrt{100}*\sqrt{7}=10\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-10\sqrt{7}}{2*15}=\frac{40-10\sqrt{7}}{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+10\sqrt{7}}{2*15}=\frac{40+10\sqrt{7}}{30} $

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