Can someone help me find the roots of 3x^2+36x+81=0
2 answers:
Answer:
-3 and -9 are the roots.
Step-by-step explanation:
Answer:
x = -9, -3
Step-by-step explanation:
Step 1: Write equation
3x² + 36x + 81 = 0
Step 2: Solve for <em>x</em>
- Factor out 3: 3(x² + 12x + 27) = 0
- Factor quadratic: 3(x + 3)(x + 9) = 0
- Divide both sides by 3: (x + 3)(x + 9) = 0
- Solve individual roots: x = -9, -3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
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
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