25-132x+168x^2=0

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Solution for 25-132x+168x^2=0 equation:



25-132x+168x^2=0
a = 168; b = -132; c = +25;
Δ = b2-4ac
Δ = -1322-4·168·25
Δ = 624
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:
$\sqrt{\Delta}=\sqrt{624}=\sqrt{16*39}=\sqrt{16}*\sqrt{39}=4\sqrt{39}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-132)-4\sqrt{39}}{2*168}=\frac{132-4\sqrt{39}}{336} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-132)+4\sqrt{39}}{2*168}=\frac{132+4\sqrt{39}}{336} $

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