4x^2-48x+92=0

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Solution for 4x^2-48x+92=0 equation:



4x^2-48x+92=0
a = 4; b = -48; c = +92;
Δ = b2-4ac
Δ = -482-4·4·92
Δ = 832
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{832}=\sqrt{64*13}=\sqrt{64}*\sqrt{13}=8\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-8\sqrt{13}}{2*4}=\frac{48-8\sqrt{13}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+8\sqrt{13}}{2*4}=\frac{48+8\sqrt{13}}{8} $

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