3.625=2x^2

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Solution for 3.625=2x^2 equation:



3.625=2x^2
We move all terms to the left:
3.625-(2x^2)=0
a = -2; b = 0; c = +3.625;
Δ = b2-4ac
Δ = 02-4·(-2)·3.625
Δ = 29
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{-(0)-\sqrt{29}}{2*-2}=\frac{0-\sqrt{29}}{-4} =-\frac{\sqrt{}}{-4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{29}}{2*-2}=\frac{0+\sqrt{29}}{-4} =\frac{\sqrt{}}{-4} $

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