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x*x/3=675
We move all terms to the left:
x*x/3-(675)=0
We multiply all the terms by the denominator
x*x-675*3=0
We add all the numbers together, and all the variables
x*x-2025=0
Wy multiply elements
x^2-2025=0
a = 1; b = 0; c = -2025;
Δ = b2-4ac
Δ = 02-4·1·(-2025)
Δ = 8100
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{8100}=90$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*1}=\frac{-90}{2} =-45 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*1}=\frac{90}{2} =45 $
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