4x^2-51x+49=0

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Solution for 4x^2-51x+49=0 equation:



4x^2-51x+49=0
a = 4; b = -51; c = +49;
Δ = b2-4ac
Δ = -512-4·4·49
Δ = 1817
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-51)-\sqrt{1817}}{2*4}=\frac{51-\sqrt{1817}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-51)+\sqrt{1817}}{2*4}=\frac{51+\sqrt{1817}}{8} $

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