Question

find the solutions to the equation by completing the square. x^2-6x=7. what is the largest value of x. what is the smallest?

Answer 1

x^2 - 6x = 7


How to work out the equation:


Subtract 7 from both sides

x^2 - 6x - 7 = 7 - 7

Simplify

x^2 - 6x - 7 = 0


Answer :

The final solutions to the quadratic equation are:

x = 7
x = -1



Hope that helped !! :))

Answer 2

The largest value of x is 1 and the smallest is the -7.

Explanation:

The given equation is:

`x^2-6x=7`

Solving the above equation by adding 9 on both the sides, we get

`x^2-6x+9=7+9`

⇒
`x^2-(2)(3)x+3^2=16`

Using the identity,
`(a+b)=a^2+b^2+2ab`, we have

⇒
`(x+3)^2=16`

Taking square root on both the sides, we get

⇒
`(x+3)=√(16)`

⇒
`(x+3)=\pm{4}`

⇒
`x+3=4` and
`x+3=-4`

⇒
`x=1` and
`x=-7`

Thus, the largest value of x is 1 and the smallest is the -7.