2x2=32x

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Solution for 2x2=32x equation:



2x^2=32x
We move all terms to the left:
2x^2-(32x)=0
a = 2; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·2·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*2}=\frac{0}{4} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*2}=\frac{64}{4} =16 $

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