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X2+X/10=3
We move all terms to the left:
X2+X/10-(3)=0
We add all the numbers together, and all the variables
X^2+X/10-3=0
We multiply all the terms by the denominator
X^2*10+X-3*10=0
We add all the numbers together, and all the variables
X^2*10+X-30=0
Wy multiply elements
10X^2+X-30=0
a = 10; b = 1; c = -30;
Δ = b2-4ac
Δ = 12-4·10·(-30)
Δ = 1201
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{1201}}{2*10}=\frac{-1-\sqrt{1201}}{20} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1201}}{2*10}=\frac{-1+\sqrt{1201}}{20} $
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