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x2=225/1000
We move all terms to the left:
x2-(225/1000)=0
We add all the numbers together, and all the variables
x2-(+225/1000)=0
We add all the numbers together, and all the variables
x^2-(+225/1000)=0
We get rid of parentheses
x^2-225/1000=0
We multiply all the terms by the denominator
x^2*1000-225=0
Wy multiply elements
1000x^2-225=0
a = 1000; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·1000·(-225)
Δ = 900000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{900000}=\sqrt{90000*10}=\sqrt{90000}*\sqrt{10}=300\sqrt{10}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{10}}{2*1000}=\frac{0-300\sqrt{10}}{2000} =-\frac{300\sqrt{10}}{2000} =-\frac{3\sqrt{10}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{10}}{2*1000}=\frac{0+300\sqrt{10}}{2000} =\frac{300\sqrt{10}}{2000} =\frac{3\sqrt{10}}{20} $
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