Question

How do you solve `x^ { 2} + 60= 285`?

Answer 1

subtract 60 and take the square root of 225 to get `color(blue)(x=+-15)`

Explanation:

`x^2 + 60 - 60 = 285 - 60`

This equals

`x^2 = 225`

Take the square root of both sides

`sqrt x^2 = sqrt 225` This leaves

`x = +-15`

Answer 2

`x=+-15`

Explanation:

`"to solve the equation for x , isolate "x^2" by"`
`"subtracting 60 from both sides"`

`x^2cancel(+60)cancel(-60)=285-60`

`x^2=225`

`color(blue)"take the square root of both sides"`

`sqrt(x^2)=+-sqrt225larrcolor(blue)"note plus or minus"`

`x=+-15" are the solutions"`

Answer 3

`x=+-15`

Explanation:

Our end goal is to get `x` by itself. To start, we can subtract `60` from both sides to get

`x^2=225`

To undo the exponent of `2`, we need to take the square root of both sides. We get

`x=+-15`

Notice, we have two solutions because taking the square root yields a positive and negative result.

Hope this helps!