XolaniA599278 XolaniA599278
  • 03-11-2022
  • Mathematics
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Section 1- Question 10Use the quadratic formula to solve the following equation:4m2-7m +2=57+√97A87+√17B87 + √1C87+√-63D8

Section 1 Question 10Use the quadratic formula to solve the following equation4m27m 25797A8717B87 1C8763D8 class=

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CopeF186954 CopeF186954
  • 03-11-2022

The Solution:

Given:

[tex]4m^2-7m+2=5[/tex]

We are required to use the Quadratic Formula to solve the equation above.

[tex]\begin{gathered} 4m^2-7m+2-5=0 \\ 4m^2-7m-3=0 \end{gathered}[/tex]

The Quadratic Formula is:

[tex]m=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]\begin{gathered} a=4 \\ b=-7 \\ c=-3 \end{gathered}[/tex]

Substitute:

[tex]m=\frac{-(-7)\pm\sqrt{(-7)^2-4(4)(-3)}}{2(4)}[/tex][tex]m=\frac{7\pm\sqrt{49+48}}{8}=\frac{7\pm\sqrt{97}}{8}[/tex]

Therefore, the correct answer is [option A]

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