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  • 06-09-2020
  • Mathematics
contestada

Solve the equation by applying the zero product property. X(X-4)=-3

Respuesta :

snog
snog snog
  • 06-09-2020

Answer:

x = 1 or x = 3

Step-by-step explanation:

x(x - 4) = -3

x² - 4x = -3

x² - 4x + 3 = 0

To factor the left side, we need to find two numbers that have a sum of -4 and a product of 3, these numbers are -1 and -3 so the equation becomes:

(x - 1)(x - 3) = 0

Now, using ZPP, we get:

x - 1 = 0 or x - 3 = 0

x = 1 or x = 3

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