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VARVARA [1.3K]
3 years ago
10

Rewrite the equation by completing the square. f (x) = x^2 + 20x - 86

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

f(x) = (x+10)^2 - 86

Step-by-step explanation:

  1. f(x) = x^2 + 20x - 86
  2. f(x) = x^2 + 20x + 100 - 86 (because (20/2)^2 = 100)
  3. f(x) = (x+10)^2 - 86

Completing the square means you do (b/2)^2 where b is: a^2x + bx + c.

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Mariana solved the equation below. Identify her ERROR and EXPLAIN what she did wrong. -3(2x-4)=-12 -6x-12=-12 -6x=0 x=0
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Answer:

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

Step-by-step explanation:

Mariana workings:

-3(2x - 4) = -12

-6x - 12 = -12

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

-6x = 0

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Correct workings:

-3(2x - 4) = -12

-6x + 12 = - 12

-6x = -12 - 12

-6x = -24

x = -24/-6

x = 4

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