1x*2x=550

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Solution for 1x*2x=550 equation:



1x*2x=550
We move all terms to the left:
1x*2x-(550)=0
Wy multiply elements
2x^2-550=0
a = 2; b = 0; c = -550;
Δ = b2-4ac
Δ = 02-4·2·(-550)
Δ = 4400
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:
$\sqrt{\Delta}=\sqrt{4400}=\sqrt{400*11}=\sqrt{400}*\sqrt{11}=20\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{11}}{2*2}=\frac{0-20\sqrt{11}}{4} =-\frac{20\sqrt{11}}{4} =-5\sqrt{11} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{11}}{2*2}=\frac{0+20\sqrt{11}}{4} =\frac{20\sqrt{11}}{4} =5\sqrt{11} $

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