SOLUTION: The square root of x plus 6 minus the square root of x equals the square root of two. what is x?
The square root of c plus 4 equals the square root of c plus 20 minus 2 ( the m
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Question 176972This question is from textbook Merril Algebra 2 with Trigonometry
: The square root of x plus 6 minus the square root of x equals the square root of two. what is x?
The square root of c plus 4 equals the square root of c plus 20 minus 2 ( the minus two is not in the radical sign). What is x?
This question is from textbook Merril Algebra 2 with Trigonometry
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The square root of x plus 6 minus the square root of x equals the square root of two. what is x?
Equation:
sqrt(x+6) - sqrt(x) = sqrt(2)
Square both sides to get:
x+6 -2sqrt(x^2+6x) + x = 2
2sqrt(x^2+6x) = 2x + 4
sqrt(x^2+x) = x + 2
Square both sides to get:
x^2 + x = x^2 + 4x + 4
3x = -4
x = -4/3
--------------
But sqrt(-4/3) is not a Real Number, so no solution.
=========================================================
Cheers,
Stan H.
The square root of c plus 4 equals the square root of c plus 20 minus 2 ( the minus two is not in the radical sign). What is x?
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