Question

What are the solutions to the quadratic equation 3(x − 4)2 = 75?

x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9

Answer 1

the answer is d x = −1 and x = 9

Explanation:

Answer 2

x=-1 and x=9

Explanation:

`3(x-4)^(2) =75`

`(x-4)^(2) =(75)/(3)`

`(x-4)^(2)`=
`25`

`(x-4)(x-4)`=
`25`

`x^(2) -4x-4x+16`=
`25`

`x^(2) -8x+16`=
`25`

`x^(2) -8x+16-25=0`

`x^(2) -8x-9=0`

`(x-9)(x+1)=0`

`x-9=0\\x=0+9\\x=9`
`x+1=0\\x=0-1\\x=-1`

therefore x=9 and x=-1