cbut2717
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  • 08-02-2020
  • Mathematics
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Solve for x: square root of the quantity x plus six, plus square root of x equals three

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MathPhys
MathPhys MathPhys
  • 08-02-2020

Answer:

x = ¼

Step-by-step explanation:

√(x + 6) + √x = 3

Subtract √x from both sides.

√(x + 6) = 3 − √x

Square both sides.

x + 6 = (3 − √x)²

x + 6 = 9 − 6√x + x

Simplify and solve.

6 = 9 − 6√x

6√x = 3

√x = ½

x = ¼

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