Question

Solve for x.
12x² -2=14

Answer 1

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=

1.154701

Explanation:

12x sqaured - 2 = 14

so first add 2 to make it 16 in the other side.

12x sqaured =16 then divide the sqaured and get 4 on the other side

so 12x = 4 then the answer is 4/12 or 1/3

Answer 2

Explanation:

12x²-2=14 add 2 to both sides

12x²=16 divide both sides by 12

x² = 16/12 reduce by dividing top and bottom by 4

x²=4/3 take square root of both sides to cancel square

when you take sq root you also get ±

x=±
`\sqrt{(4)/(3) }` you can take square root of 4

= ±
`(2)/(√(3) )` you can never leave root on bottom so multiply by

root on top and bottom to simplify

= ±
`(2)/(√(3) ) (√(3) )/(√(3) )`

= ±
`(2√(3) )/(3)`