15x2+150x-18=0

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Solution for 15x2+150x-18=0 equation:



15x^2+150x-18=0
a = 15; b = 150; c = -18;
Δ = b2-4ac
Δ = 1502-4·15·(-18)
Δ = 23580
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:
$\sqrt{\Delta}=\sqrt{23580}=\sqrt{36*655}=\sqrt{36}*\sqrt{655}=6\sqrt{655}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(150)-6\sqrt{655}}{2*15}=\frac{-150-6\sqrt{655}}{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(150)+6\sqrt{655}}{2*15}=\frac{-150+6\sqrt{655}}{30} $

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