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X=(X-3/11)
We move all terms to the left:
X-((X-3/11))=0
We add all the numbers together, and all the variables
X-((+X-3/11))=0
We multiply all the terms by the denominator
X*11))-((+X-3=0
We add all the numbers together, and all the variables
X+X*11))-((-3=0
Wy multiply elements
11X^2+X-3=0
a = 11; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·11·(-3)
Δ = 133
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{133}}{2*11}=\frac{-1-\sqrt{133}}{22} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{133}}{2*11}=\frac{-1+\sqrt{133}}{22} $
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