2t^2-7t-1=0

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Solution for 2t^2-7t-1=0 equation: 



2t^2-7t-1=0

a = 2; b = -7; c = -1;
Δ = b2-4ac
Δ = -72-4·2·(-1)
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{-(-7)-\sqrt{57}}{2*2}=\frac{7-\sqrt{57}}{4}
$


$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{57}}{2*2}=\frac{7+\sqrt{57}}{4}
$

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