0.3x^2=9x^2-2.3

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Solution for 0.3x^2=9x^2-2.3 equation:



0.3x^2=9x^2-2.3
We move all terms to the left:
0.3x^2-(9x^2-2.3)=0
We get rid of parentheses
0.3x^2-9x^2+2.3=0
We add all the numbers together, and all the variables
-8.7x^2+2.3=0
a = -8.7; b = 0; c = +2.3;
Δ = b2-4ac
Δ = 02-4·(-8.7)·2.3
Δ = 80.04
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{80.04}}{2*-8.7}=\frac{0-\sqrt{80.04}}{-17.4} =-\frac{\sqrt{}}{-17.4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{80.04}}{2*-8.7}=\frac{0+\sqrt{80.04}}{-17.4} =\frac{\sqrt{}}{-17.4} $

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