2x^2-49x-25=0

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Solution for 2x^2-49x-25=0 equation:



2x^2-49x-25=0
a = 2; b = -49; c = -25;
Δ = b2-4ac
Δ = -492-4·2·(-25)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-51}{2*2}=\frac{-2}{4} =-1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+51}{2*2}=\frac{100}{4} =25 $

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