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ahrayia [7]
3 years ago
11

B^2+ 8b + 12 = (b + 6) (?) find the other binomial which will complete the factorization

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

natima [27]3 years ago
7 0

Answer:

<h2>(b + 6) (b+ 2)</h2>

Step-by-step explanation:

<em><u>______________________________________________________</u></em>

here we gonna use a rule:

<em><u>if x1 and x2 are rooots of the quadratic equation: ax² + bx + c = 0</u></em>

<em><u>then x1 + x2 = -b/a</u></em>

<em><u>______________________________________________________</u></em>

b^2+ 8b + 12 = (b - b1) (b - b2)

This prove that “b1 = -6” is a root of the quadratic equation b^2+ 8b + 12 = 0

since, the sum of roots b1 + b2 = -8/1 = -8 then b2 = -8 - b1 = -8 - (-6) = -2

then

b^2+ 8b + 12 = (b - (-6)) (b - (-2))

                     = (b + 6) (b+ 2).

:)

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Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
NemiM [27]

Answer:

The solution of the equation are 3 , -11

Step-by-step explanation:

* Lets revise how to make the completing square

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* Now lets solve the problem

∵ x² + 8x = 33 ⇒ subtract 33 from both sides

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∴ x² + 8x - 33 = a(x - h)² + k ⇒ solve the bracket of power 2

∴ x² + 8x - 33 = a(x² - 2hx + h²) + k ⇒ multiply the bracket by a

∴ x² + 8x - 33 = ax² - 2ahx + ah² + k ⇒ compare the two sides

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∴ -2(1)h = 8 ⇒ -2h = 8 ⇒ ÷ (-2)

∴ h = -4

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∴ (x + 4)² = 49 ⇒ take square root for both sides

∴ (x + 4) = ± 7

∵ x + 4 = 7 ⇒ subtract 4 from both sides

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For proportionality constant problems, set up the equation as,

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ANSWER: 1.5


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