12t^2+16t-60=0

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Solution for 12t^2+16t-60=0 equation:



12t^2+16t-60=0
a = 12; b = 16; c = -60;
Δ = b2-4ac
Δ = 162-4·12·(-60)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-56}{2*12}=\frac{-72}{24} =-3 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+56}{2*12}=\frac{40}{24} =1+2/3 $

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