Question

Solve 3x2 4x = 2. quantity of 2 plus or minus square root of 10 all over 6 quantity of negative 2 plus or minus 2 square root of 10 all over 3 quantity of negative 2 plus or minus square root of 10 all over 3 quantity of negative 4 plus or minus square root of 10 all over 3

Answer 1

Main Answer:

`x=(-2\±√(10))/(3)`

Step-by-step explanation:

The given equation is,

`3x^(2) +4x=2`

The

The quadratic formula to find the value of x for the equation
`ax^(2) +bx+c=0` is,

`x=\frac{-b\±\sqrt{b^(2)-4ac}}{2a}`

The values are,

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

Now, substitute the values of a, b and c

`x=\frac{-4\±\sqrt{(4)^(2)-4(3)(-2)}}{2(3)}`

`x=(-4\±√(16-12(-2)))/(6)`

`x=(-4\±√(40))/(6)`

`x=(-4\±2√(10))/(6)`

`x=(2(-2\±√(10)))/(6)`

`x=(-2\±√(10))/(3)`