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X=30+5(X/60)
We move all terms to the left:
X-(30+5(X/60))=0
We add all the numbers together, and all the variables
X-(30+5(+X/60))=0
We multiply all the terms by the denominator
X*60))-(30+5(+X=0
We add all the numbers together, and all the variables
X+X*60))-(30+5(=0
Wy multiply elements
60X^2+X=0
a = 60; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·60·0
Δ = 1
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{1}=1$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*60}=\frac{-2}{120} =-1/60 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*60}=\frac{0}{120} =0 $
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