(15x)2=300

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Solution for (15x)2=300 equation:



(15x)2=300
We move all terms to the left:
(15x)2-(300)=0
We add all the numbers together, and all the variables
15x^2-300=0
a = 15; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·15·(-300)
Δ = 18000
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:
$\sqrt{\Delta}=\sqrt{18000}=\sqrt{3600*5}=\sqrt{3600}*\sqrt{5}=60\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{5}}{2*15}=\frac{0-60\sqrt{5}}{30} =-\frac{60\sqrt{5}}{30} =-2\sqrt{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{5}}{2*15}=\frac{0+60\sqrt{5}}{30} =\frac{60\sqrt{5}}{30} =2\sqrt{5} $

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