tgdetwiler1803 tgdetwiler1803
  • 20-05-2020
  • Mathematics
contestada

Let m = 6x + 5.

Which equation is equivalent to (6x + 5)2 – 10 = -18x – 15 in terms of m?

Respuesta :

jimrgrant1 jimrgrant1
  • 20-05-2020

Answer:

m² + 3m - 10 = 0

Step-by-step explanation:

Given

(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term

(6x + 5)² - 10 = - 3(6x + 5)

Now let m = 6x + 5 in the equation, that is

m² - 10 = - 3m ( add 3m to both sides )

m² + 3m - 10 = 0

Answer Link
Anisatunizzati
Anisatunizzati Anisatunizzati
  • 20-05-2020

Answer:

m = 2

Step-by-step explanation:

(6x + 5)2 – 10 = -18x – 15

12x + 10 - 10 = -18x - 15

12x + 18x = -15

30x = -15

x = -15/30

x = -1/2

m = 6x + 5

m = 6(-1/2) + 5

m = -3 + 5

m = 2

Answer Link

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