AlexanderR21830
AlexanderR21830 AlexanderR21830
  • 12-03-2021
  • Mathematics
contestada

Square root of x plus 6 − 4 = x, How many solutions are not extraneous?

Respuesta :

DWRead
DWRead DWRead
  • 12-03-2021

Answer:

Step-by-step explanation:

√(x+6) - 4 = x

√(x+6) = x+4

x+6 = x^2+8x+16

x^2 + 7x + 10 = 0

x = [-7

x = [-7±√(7²-4⋅1⋅10)]/[2⋅1] = [-7±3]/2 = -2, -5

-5 is an extraneous solution.

x = -2

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