14t+12t^2=0

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Solution for 14t+12t^2=0 equation:



14t+12t^2=0
a = 12; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·12·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*12}=\frac{-28}{24} =-1+1/6 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*12}=\frac{0}{24} =0 $

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