SOLUTION: What is the best way to solve this equation in step by step ?
{{{sqrt(2/x) - sqrt (x/2) = 1/sqrt (2) }}}
I'm profoundly grateful for help.
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Question 637713: What is the best way to solve this equation in step by step ?
I'm profoundly grateful for help.
Found 2 solutions by MathTherapy, ankor@dixie-net.com:
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
What is the best way to solve this equation in step by step ?
I'm profoundly grateful for help.
---- Separate the radicals
----- Multiplying equation by LCD,
----- Squaring both sides of equation
(x - 4)(x - 1) = 0
x = 4 or x = 1
Substituting 4 for x in original equation results in x = 4 being an EXTRANEOUS solution. On the other hand, substituting 1 for x makes the original equation true, so .
You can do the checks by plugging in 4 for x, and then 1 for x in original equation.
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve this equation in step by step ?
=
Square both sides
=
:
FOIL
)*(
:
Results
- - + =
:
2x/2x = 1, square root of 1 is 1 therefore
- 1 - 1 + =
:
- 2 + =
:
Multiply each term by 2x, to clear the denominators, results
2(2) - 4x + x^2 = x
Combine on the left to form a quadratic equation
x^2 - 5x - x + 4 = 0
x^2 - 5x + 4 = 0
Factors to:
(x-4)(x-1) = 0
two solutions
x=4
x=1
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