-5t^2+50t-80=0

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Solution for -5t^2+50t-80=0 equation:



-5t^2+50t-80=0
a = -5; b = 50; c = -80;
Δ = b2-4ac
Δ = 502-4·(-5)·(-80)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-30}{2*-5}=\frac{-80}{-10} =+8 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+30}{2*-5}=\frac{-20}{-10} =+2 $

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