4t^2-7t+1=0

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Solution for 4t^2-7t+1=0 equation: 



4t^2-7t+1=0

a = 4; b = -7; c = +1;
Δ = b2-4ac
Δ = -72-4·4·1
Δ = 33
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{33}}{2*4}=\frac{7-\sqrt{33}}{8}
$


$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{33}}{2*4}=\frac{7+\sqrt{33}}{8}
$

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