9000000=x^2*10

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Solution for 9000000=x^2*10 equation:



9000000=x^2*10
We move all terms to the left:
9000000-(x^2*10)=0
We get rid of parentheses
-x^2*10+9000000=0
Wy multiply elements
-10x^2+9000000=0
a = -10; b = 0; c = +9000000;
Δ = b2-4ac
Δ = 02-4·(-10)·9000000
Δ = 360000000
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:
$\sqrt{\Delta}=\sqrt{360000000}=\sqrt{36000000*10}=\sqrt{36000000}*\sqrt{10}=6000\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6000\sqrt{10}}{2*-10}=\frac{0-6000\sqrt{10}}{-20} =-\frac{6000\sqrt{10}}{-20} =-\frac{300\sqrt{10}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6000\sqrt{10}}{2*-10}=\frac{0+6000\sqrt{10}}{-20} =\frac{6000\sqrt{10}}{-20} =\frac{300\sqrt{10}}{-1} $

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