Question

IN THE EQUATION (ax - 2)² = 100, a IS A CONSTANT. IF x = 3 IS ONE SOLUTION TO THE EQUATION, WHAT IS A POSSIBLE VALUE OF a?

Α. 0
B. 2
C. 4
D. 6

Answer 1

Explanation:

`(ax - 2)^(2) = 100`

(
`3a-2)^(2)`=
`100`

`Using\\ the\\ formula (a + b)^(2) = a^(2) + b^(2) + 2ab`

(
`3a)^(2)`
`+ (2)^(2) +2(3a)(2)`
`=100`

`9a^(2)+4^(2) + 12a`=
`100`

`9a^(2)+ 12a+16=100`

`9a^(2) +12a+116`=
`0`

`9a^(2) +3a+29`