Question

Solve the equation for all the values of x by completing the square. x²-14x+32=0

Answer 1

Given the quadratic equation:

`x^2-14x+32=0​`

Let's solve the equation for all the values of x by completing the square.

We get,

`x^2-14x+32=0​`
`x^2\text{ - 14x + 32 + 17 = 0 + 17}`
`x^2\text{ - 14x + 49 = 17}`
`(x-7)^2\text{ = 17}`

Determining the value of x, we equate x - 7.

x - 7 = 0

x = 7

Therefore, the value of x in this equation is 7.