G(x)=x2-8x+7 - Solution

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G(x)=x2-8x+7

Simple and best practice solution for G(x)=x2-8x+7 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)=x2-8x+7 equation:

(G)=G2-8G+7 We move all terms to the left: (G)-(G2-8G+7)=0 We add all the numbers together, and all the variables -(+G^2-8G+7)+G=0 We get rid of parentheses -G^2+8G+G-7=0 We add all the numbers together, and all the variables -1G^2+9G-7=0 a = -1; b = 9; c = -7;Δ = b2-4acΔ = 92-4·(-1)·(-7)Δ = 53The 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{-(9)-\sqrt{53}}{2*-1}=\frac{-9-\sqrt{53}}{-2} $ $G_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{53}}{2*-1}=\frac{-9+\sqrt{53}}{-2} $

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