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84x(1/2x)=168x
We move all terms to the left:
84x(1/2x)-(168x)=0
Domain of the equation: 2x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
84x(+1/2x)-168x=0
We add all the numbers together, and all the variables
-168x+84x(+1/2x)=0
We multiply parentheses
84x^2-168x=0
a = 84; b = -168; c = 0;
Δ = b2-4ac
Δ = -1682-4·84·0
Δ = 28224
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{28224}=168$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-168)-168}{2*84}=\frac{0}{168} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-168)+168}{2*84}=\frac{336}{168} =2 $
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