2x^2+55x-147=0

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Solution for 2x^2+55x-147=0 equation:



2x^2+55x-147=0
a = 2; b = 55; c = -147;
Δ = b2-4ac
Δ = 552-4·2·(-147)
Δ = 4201
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{-(55)-\sqrt{4201}}{2*2}=\frac{-55-\sqrt{4201}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+\sqrt{4201}}{2*2}=\frac{-55+\sqrt{4201}}{4} $

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