1x*2x=34,5

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Solution for 1x*2x=34,5 equation:



1x*2x=34.5
We move all terms to the left:
1x*2x-(34.5)=0
We add all the numbers together, and all the variables
1x*2x-34.5=0
Wy multiply elements
2x^2-34.5=0
a = 2; b = 0; c = -34.5;
Δ = b2-4ac
Δ = 02-4·2·(-34.5)
Δ = 276
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:
$\sqrt{\Delta}=\sqrt{276}=\sqrt{4*69}=\sqrt{4}*\sqrt{69}=2\sqrt{69}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{69}}{2*2}=\frac{0-2\sqrt{69}}{4} =-\frac{2\sqrt{69}}{4} =-\frac{\sqrt{69}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{69}}{2*2}=\frac{0+2\sqrt{69}}{4} =\frac{2\sqrt{69}}{4} =\frac{\sqrt{69}}{2} $

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