-5t^2+3t=0

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Solution for -5t^2+3t=0 equation:



-5t^2+3t=0
a = -5; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-5)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-5}=\frac{-6}{-10} =3/5 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-5}=\frac{0}{-10} =0 $

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