Question

Can someone help me find the roots of 3x^2+36x+81=0

Answer 1

-3 and -9 are the roots.

Explanation:

Answer 2

x = -9, -3

Explanation:

Step 1: Write equation

3x² + 36x + 81 = 0

Step 2: Solve for x

1. Factor out 3: 3(x² + 12x + 27) = 0
2. Factor quadratic: 3(x + 3)(x + 9) = 0
3. Divide both sides by 3: (x + 3)(x + 9) = 0
4. Solve individual roots: x = -9, -3

Step 3: Check

Plug in x to verify it's a solution.

3(-9)² + 36(-9) + 81 = 0

3(81) - 324 + 81 = 0

243 - 243 = 0

0 = 0

3(-3)² + 36(-3) + 81 = 0

3(9) - 108 + 81 = 0

27 - 27 = 0

0 = 0