Question

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

Answer 1

The Solution:

Given:

`4m^2-7m+2=5`

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

`\begin{gathered} 4m^2-7m+2-5=0 \\ 4m^2-7m-3=0 \end{gathered}`

The Quadratic Formula is:

`m=(-b\pm√(b^2-4ac))/(2a)`

In this case:

`\begin{gathered} a=4 \\ b=-7 \\ c=-3 \end{gathered}`

Substitute:

`m=(-(-7)\pm√((-7)^2-4(4)(-3)))/(2(4))`
`m=(7\pm√(49+48))/(8)=(7\pm√(97))/(8)`

Therefore, the correct answer is [option A]