Question

2. Two of your classmates are arguing over the solution to a problem. Rhonda believes that the only method to solving the following theequation below is by using the quadratic equation. Max believes that you can use the quadratic formula but you can also factor theequation. Explain if Rhonda or Max is correct.2x^2-5x=88Some words/phrases to consider using in your response would be:factorFOIL MethodZero-Product PropertyStandard Formquadratic expressionquadratic equationscoefficientperfect square

Answer 1

Given data:

The given expression is x^2 -6x-7=0.

The given expression can be written as,

`\begin{gathered} x^2-6x=7 \\ x^2-6x+((6)/(2))^2=7+((6)/(2))^2 \\ x^2-2(x)(3)+3^2=7+3^2 \\ (x-3)^2=16 \end{gathered}`

Thus, the number 9 is added on both sides to complete square.