15x2+19.5x+4.5=0

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Solution for 15x2+19.5x+4.5=0 equation:



15x^2+19.5x+4.5=0
a = 15; b = 19.5; c = +4.5;
Δ = b2-4ac
Δ = 19.52-4·15·4.5
Δ = 110.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19.5)-\sqrt{110.25}}{2*15}=\frac{-19.5-\sqrt{110.25}}{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19.5)+\sqrt{110.25}}{2*15}=\frac{-19.5+\sqrt{110.25}}{30} $

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