Question

Use -b/2a to find x and then substitute your answer to find y.

Answer 1

Step 1: Write the given expression

We have been given the equation:

`y=x^2-6x-6`

If we compare coefficients this with the general quadratic equation

`y=ax^2+bx+c`

We can infer that

a= 1

b=-6

c=-6

To get x and y,

Step 2: Use the relationship provided

To get x

`x=-(b)/(2a)`
`\begin{gathered} x=\frac{-\mleft(-6\mright)}{2\text{ x 1}}=(6)/(2)=3 \\ \\ x\text{ = 3} \end{gathered}`

To get y, we will substitute the value of x=3 into the expression given

`\begin{gathered} y=3^2-6\text{ x 3 -6} \\ y=9\text{ -18 -6} \\ y=\text{ 9-24} \\ y=-15 \end{gathered}`

Hence

x = 3

y=-15