Question

Can I find tutor to help me wit this ?

Answer 1

Explanation

We are given the following:

`x=(-(-5)\pm√((-5)^2-4(7)(-2)))/(2(7))`

We are required to determine the equation Michelle solved.

We know that a quadratic equation in its general form can be solved thus:

Therefore, we can deduce from the details given that:

`\begin{gathered} b=-5 \\ a=7 \\ c=-2 \\ The\text{ }equation\text{ }should\text{ }be:7x^2-5x-2=0 \end{gathered}`

Simplifying the options, we have:

`\begin{gathered} Option\text{ }A:7x^2-5x+3=5 \\ 7x^2-5x+3-5=0 \\ 7x^2-5x-2=0 \\ \\ Option\text{ }B:7x^2-5x-2=-1 \\ 7x^2-5x-2+1=0 \\ 7x^2-5x-1=0 \\ \\ Option\text{ }C:7x^2-5x+6=-8 \\ 7x^2-5x+6+8=0 \\ 7x^2-5x+14=0 \\ \\ Option\text{ }D:7x^2-5x+5=3 \\ 7x^2-5x+5-3=0 \\ 7x^2-5x+2=0 \end{gathered}`

Hence, the answer is:

`7x^2-5x+3=5`

The first option is correct.