2x^2-40x+13=0

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Solution for 2x^2-40x+13=0 equation:



2x^2-40x+13=0
a = 2; b = -40; c = +13;
Δ = b2-4ac
Δ = -402-4·2·13
Δ = 1496
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:
$\sqrt{\Delta}=\sqrt{1496}=\sqrt{4*374}=\sqrt{4}*\sqrt{374}=2\sqrt{374}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-2\sqrt{374}}{2*2}=\frac{40-2\sqrt{374}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+2\sqrt{374}}{2*2}=\frac{40+2\sqrt{374}}{4} $

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