G(x)=4/x-6+5 - Solution

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G(x)=4/x-6+5

Simple and best practice solution for G(x)=4/x-6+5 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Solution for G(x)=4/x-6+5 equation:

(G)=4/G-6+5 We move all terms to the left: (G)-(4/G-6+5)=0 Domain of the equation: G-6+5)!=0 We move all terms containing G to the left, all other terms to the right G+5)!=6 G∈R We add all the numbers together, and all the variables G-(4/G-1)=0 We get rid of parentheses G-4/G+1=0 We multiply all the terms by the denominator G*G+1*G-4=0 We add all the numbers together, and all the variables G+G*G-4=0 Wy multiply elements G^2+G-4=0 a = 1; b = 1; c = -4;Δ = b2-4acΔ = 12-4·1·(-4)Δ = 17The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$G_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$G_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$G_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{17}}{2*1}=\frac{-1-\sqrt{17}}{2} $ $G_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{17}}{2*1}=\frac{-1+\sqrt{17}}{2} $

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