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Based on the calculations, the value of 2x - 3 is equal to [tex]\frac{-5}{9}[/tex]

Given the following data:

  • [tex]x^2 +8x-4=x^2+8[/tex]

To determine the value of 2x - 3:

How to solve a quadratic equation.

In this exercise, you're required to find an equivalent value of 2x - 3 while using the value obtained from the simplification of the given quadratic equation. Thus, we would find the value of x from quadratic equation as follows:

[tex]x^2 +8x-4=x^2+8\\\\x^2 -x^2 +8x-4-8=0\\\\8x-12=0\\\\12=8x\\\\x=\frac{8}{12} \\\\x=\frac{2}{3}[/tex]

For 2x - 3:

[tex]2x - 3 =0\\\\2(\frac{2}{3} )-3=0\\\\\frac{4}{3} -3=\frac{-5}{9}[/tex]

Read more on quadratic equation here: https://brainly.com/question/1214333