450=2x*x

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Solution for 450=2x*x equation:



450=2x*x
We move all terms to the left:
450-(2x*x)=0
We add all the numbers together, and all the variables
-(+2x*x)+450=0
We get rid of parentheses
-2x*x+450=0
Wy multiply elements
-2x^2+450=0
a = -2; b = 0; c = +450;
Δ = b2-4ac
Δ = 02-4·(-2)·450
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-2}=\frac{-60}{-4} =+15 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-2}=\frac{60}{-4} =-15 $

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