roshairas13 roshairas13
  • 02-10-2020
  • Mathematics
contestada

Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.

Respuesta :

alyssanjacquez alyssanjacquez
  • 02-10-2020

Answer:

There is no solution for the given radical equation.

x = 225/16 is an extraneous solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Substituting back the value of x in original equation to check the extraneous solution.

 

Since -18≠ 12. Hence, the value of x does not satisfy the equation.

Therefore, x = 225/16 is an extraneous solution.

Step-by-step explanation:

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