4x2+8x=40

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Solution for 4x2+8x=40 equation:



4x^2+8x=40
We move all terms to the left:
4x^2+8x-(40)=0
a = 4; b = 8; c = -40;
Δ = b2-4ac
Δ = 82-4·4·(-40)
Δ = 704
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:
$\sqrt{\Delta}=\sqrt{704}=\sqrt{64*11}=\sqrt{64}*\sqrt{11}=8\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8\sqrt{11}}{2*4}=\frac{-8-8\sqrt{11}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8\sqrt{11}}{2*4}=\frac{-8+8\sqrt{11}}{8} $

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