Question

Solve the equation for x. (5 points)

the square root of the quantity x minus 6 end quantity plus 3 equals 10

Answer 1

Solution:

I think the equation should be:

`√(x - 6) + 3 = 10`

If so, collect like terms to make x the subject of formula.

`√(x - 6) = 10 - 3 \\ √(x - 6) = 7`

Square both sides due to the presence of square root.

`( √(x - 6) {)}^(2) = (7 {)}^(2)`

→
`x - 6 = 49`

Collect like terms.

`x = 49 + 6`

Therefore:
`x = 55`

I hope this helps.