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matrenka [14]
3 years ago
15

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

Mathematics
2 answers:
Soloha48 [4]3 years ago
4 0

Answer:

-3 and -9 are the roots.

Step-by-step explanation:

PIT_PIT [208]3 years ago
3 0

Answer:

x = -9, -3

Step-by-step explanation:

Step 1: Write equation

3x² + 36x + 81 = 0

Step 2: Solve for <em>x</em>

  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

<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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Step-by-step explanation:

The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.

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