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natta225 [31]
4 years ago
11

Solve 5x²+9x-12=0 by factoring

Mathematics
1 answer:
asambeis [7]4 years ago
5 0

Answer:

  x = -3, 4/5

Step-by-step explanation:

To factor the equation, you need to find factors of (5)(-12) that have a sum of (+9).

  (5)(-12) = -60 = 60(-1) = 30(-2) = 15(-4) = 12(-5) = 10(-6)

The factors 15 and -4 have a sum of 9, so we can factor the equation as ...

  5x² +15x -4x -12 = 0

  5x(x +3) -4(x +3) = 0  . . . .  factor pairs of terms

  (5x -4)(x +3) = 0

The solutions are the values of x that make these factors zero:

  5x -4 = 0   ⇒   x = 4/5

  x +3 = 0   ⇒   x = -3

The solutions are x = -3 or 4/5.

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              1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
  10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1)    16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
                     26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
                            26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
                              26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
                              4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
                                    4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
                                          + ¹/₃n                     + ¹/₃n
                                 4n² - 7²/₃n + 30 = 1¹/₃n³
                   -1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
             -3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
                        4n³ - 12n² + 23n - 90 = 0
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4 years ago
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3 years ago
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Which line on the graph below has an undefined slope?
goldenfox [79]

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6 0
3 years ago
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3 years ago
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Hatshy [7]
<h2>The required value of x is equal to 2.</h2>

Step-by-step explanation:

We have,

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∴ \dfrac{x+16}{3}=3x

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