2x2-14x-147=0

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Solution for 2x2-14x-147=0 equation:



2x^2-14x-147=0
a = 2; b = -14; c = -147;
Δ = b2-4ac
Δ = -142-4·2·(-147)
Δ = 1372
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:
$\sqrt{\Delta}=\sqrt{1372}=\sqrt{196*7}=\sqrt{196}*\sqrt{7}=14\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14\sqrt{7}}{2*2}=\frac{14-14\sqrt{7}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14\sqrt{7}}{2*2}=\frac{14+14\sqrt{7}}{4} $

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