9x-1.5x^2=0

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Solution for 9x-1.5x^2=0 equation:



9x-1.5x^2=0
a = -1.5; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·(-1.5)·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*-1.5}=\frac{-18}{-3} =+6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*-1.5}=\frac{0}{-3} =0 $

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