Question

Please help me I'm so bad at math and doing AFDA really doesn't help.. Its quadratic equations matching solution sets.

Answer 1

`(a)\ x + 4 = \±\sqrt9` ----
`x =\{-7,- 1\}`

`(b)\ x - 4 = \±\sqrt9` ----
`x = \{1,7\}`

`(c)\ x + 3 = \±√(16)` -----
`x = \{-7,1\}`

`(d)\ x - 3 = \±√(16)` ----
`x = \{-1,7\}`

Explanation:

Given

The attached equations

Required

Match each with the solution

`(a)\ x + 4 = \±\sqrt9`

Take the square root of 9

`x + 4 = \±3`

Solve for x

`x =- 4 \±3`

Split

`x =\{- 4 -3,- 4 +3\}`

`x =\{-7,- 1\}`

`(b)\ x - 4 = \±\sqrt9`

Take the square root of 9

`x - 4 = \±3`

Solve for x

`x = 4 \±3`

Split

`x = \{4 -3,4+3\}`

`x = \{1,7\}`

`(c)\ x + 3 = \±√(16)`

Take the square root of 16

`x + 3 = \±4`

Solve for x

`x =- 3 \±4`

Split

`x = \{-3-4,-3+4\}`

`x = \{-7,1\}`

`(d)\ x - 3 = \±√(16)`

Take the square root of 16

`x - 3 = \±4`

Solve for x

`x =3 \±4`

Split

`x = \{3-4,3+4\}`

`x = \{-1,7\}`