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(2/3)s+s=60
We move all terms to the left:
(2/3)s+s-(60)=0
Domain of the equation: 3)s!=0We add all the numbers together, and all the variables
s!=0/1
s!=0
s∈R
(+2/3)s+s-60=0
We add all the numbers together, and all the variables
s+(+2/3)s-60=0
We multiply parentheses
2s^2+s-60=0
a = 2; b = 1; c = -60;
Δ = b2-4ac
Δ = 12-4·2·(-60)
Δ = 481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{481}}{2*2}=\frac{-1-\sqrt{481}}{4} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{481}}{2*2}=\frac{-1+\sqrt{481}}{4} $
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