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Answered

suppose that five times the cube of a number equals 50 times a number find the number​

Sagot :

AGBOIIIN

Answer:

The numbers are 0 and √50

Step-by-step explanation:

Equation:

  • 5x³ = 50x

Solving the equation we get:

  • 5x³ = 50x
  • x³ = 50x / 5
  • x³ = 10x
  • x³-10x = 0
  • x(x²-10) = 0

Solve the 2 factors

  • x = 0

  • x²-10 = 0
  • x² = 10
  • x = √10

Checking:

First number: x = 0

  • 5x³ = 50x
  • 5(0)³ = 50(0)
  • 5(0) = 0
  • 0 = 0

Second number: x = √10

  • 5(√10)³ = 50(√10)
  • 5(10√10) = 50√10
  • 50√10 = 50√10

Therefore , the numbers are 0 and √10

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