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5s-(7/6)s=0
Domain of the equation: 6)s!=0We add all the numbers together, and all the variables
s!=0/1
s!=0
s∈R
5s-(+7/6)s=0
We multiply parentheses
-7s^2+5s=0
a = -7; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-7)·0
Δ = 25
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}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{25}=5$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-7}=\frac{-10}{-14} =5/7 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-7}=\frac{0}{-14} =0 $
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