4t^2-3t-3=0

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Solution for 4t^2-3t-3=0 equation:



4t^2-3t-3=0
a = 4; b = -3; c = -3;
Δ = b2-4ac
Δ = -32-4·4·(-3)
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{57}}{2*4}=\frac{3-\sqrt{57}}{8} $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{57}}{2*4}=\frac{3+\sqrt{57}}{8} $

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