Question

What does x equal?

`1 (18)/(7) + 4x {}^(2) = 32`
​

Answer 1

`x = 2.666...`

or

`x = - 2.666...`

Explanation:

`1 (18)/(7) + 4 {x}^(2) = 32`

`(25)/(7) + 4 {x}^(2) = 32`

Subtract 25/7 from both sides:

`4 {x}^(2) = 32 - (25)/(7)`

Subtract like terms:

`4 {x}^(2) = (199)/(7)`

Divide both sides by 4:

`{x}^(2) = (199)/(28)`

Hence,

`x = \sqrt{ (199)/(28) }`

or

`x = - \sqrt{ (199)/(28) }`

which is equal to 2.666... or -2.666...