-4t(9t-170)=0

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Solution for -4t(9t-170)=0 equation:



-4t(9t-170)=0
We multiply parentheses
-36t^2+680t=0
a = -36; b = 680; c = 0;
Δ = b2-4ac
Δ = 6802-4·(-36)·0
Δ = 462400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{462400}=680$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(680)-680}{2*-36}=\frac{-1360}{-72} =18+8/9 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(680)+680}{2*-36}=\frac{0}{-72} =0 $

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