Question

NEED HELP ASAP PLZ!!!!!! If the quadratic formula is used to find the solution set of 3x 2 + 4x - 2 = 0, what are the solutions?

Answer 1

i think the answer is (-2-\sqrt(10))/(3)
i know that looks wierd...sorry...i hope this helps

Answer 2

The solution of the given equation are
`x=(-2-√(10))/(3)` and
`x=(-2+√(10))/(3)`.

Explanation:

If a quadratic equation is
`ax^2+bx+c=0`, then the quadratic formula is

`x=(-b\pm √(b^2-4ac))/(2a)`

The given quadratic equation is

`3x^2+4x-2=0`

Here,
`a=3,b=4,c=-2`

Using quadratic formula, we get

`x=(-4\pm √(4^2-4(3)(-2)))/(2(3))`

`x=(-4\pm √(40))/(6)`

`x=(-4\pm 2√(10))/(6)`

`x=(-2\pm √(10))/(3)`

Therefore the solution of the given equation are
`x=(-2-√(10))/(3)` and
`x=(-2+√(10))/(3)`.