Question

Solve the following quadratic equation for all values of x in simplest form.
10-3x²=-2

Answer 1

x=2,-2

Explanation:

10-3
`x^2\\`=-2

Can also be written as 12=3
`x^2`

`(12=3x^2)/3`

`4=x^2\\√(4) =+-√(x^2) \\`

2=+-x or x=2,-2

x=2,-2

Answer 2

x = ± 2

Explanation:

10 - 3x² = - 2 ( subtract 10 from both sides )

- 3x² = - 12 ( divide both sides by - 3 )

x² = 4 ( take square root of both sides )

x = ±
`√(4)` = ± 2

then x = - 2, x = 2