To solve the quadratic equation 3x^2 + 6x + 2 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 3, b = 6, and c = 2.

Step 1: Calculate the discriminant (b^2 - 4ac)
Discriminant = (6)^2 - 4*3*2 = 36 - 24 = 12

Step 2: Substitute a, b, and the discriminant into the quadratic formula
x = [-6 ± sqrt(12)] / (2*3)
x = [-6 ± 2sqrt(3)] / 6

Step 3: Simplify the expression
x = -1 ± sqrt(3)/3

So, the solutions to the equation 3x^2 + 6x + 2 = 0 are x = -1 + sqrt(3)/3 and x = -1 - sqrt(3)/3.

Question

To solve the quadratic equation 3x^2 + 6x + 2 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 3, b = 6, and c = 2.

Step 1: Calculate the discriminant (b^2 - 4ac)
Discriminant = (6)^2 - 4*3*2 = 36 - 24 = 12

Step 2: Substitute a, b, and the discriminant into the quadratic formula
x = [-6 ± sqrt(12)] / (2*3)
x = [-6 ± 2sqrt(3)] / 6

Step 3: Simplify the expression
x = -1 ± sqrt(3)/3

So, the solutions to the equation 3x^2 + 6x + 2 = 0 are x = -1 + sqrt(3)/3 and x = -1 - sqrt(3)/3.

Knowee AI · Accepted Answer

To solve the quadratic equation 3x^2 + 6x + 2 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 3, b = 6, and c = 2.

Step 1: Calculate the discriminant (b^2 - 4ac)
Discriminant = (6)^2 - 4*3*2 = 36 - 24 = 12

Step 2: Substitute a, b, and the discriminant into the quadratic formula
x = [-6 ± sqrt(12)] / (2*3)
x = [-6 ± 2sqrt(3)] / 6

Step 3: Simplify the expression
x = -1 ± sqrt(3)/3

So, the solutions to the equation 3x^2 + 6x + 2 = 0 are x = -1 + sqrt(3)/3 and x = -1 - sqrt(3)/3.

Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.)3x2 + 6x + 2 = 0x =