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Tidy Up 5.2.0 Tidy Up is a full-featured duplicate finder and disk-tidiness utility.

One solution was found :

Radical Equation entered :

x = √(5/2)

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Step by step solution :

Step 1 :

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Isolate the square root on the left hand side :

Original equation
x = √(5/2)
Isolate
-√(5/2) = -x
Tidy up
√(5/2) = x

Step 2 :

Eliminate the radical on the left hand side :

Raise both sides to the second power
(√(5/2))² = (x)²
After squaring
(5/2) = x²
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Step 3 :

Solve the quadratic equation :

Rearranged equation
x² -(5/2) = 0

This equation has two real roots:
x1 = ( 0 + sqrt( 10) ) / 2 = 1.5811
x2 = ( 0 - sqrt( 10) ) / 2 = -1.5811

Step 4 :

Check that the first solution is correct :

Original equation, root isolated, after tidy up
√(5/2) = x
Plug in 1.5811 for x
√(5/2) = ( 1.5811)
Simplify
√2.5 = 1.581
Solution checks !!
Solution is:
x = 1.5811

Step 5 :

Check that the second solution is correct :

Original equation, root isolated, after tidy up
√(5/2) = x
Plug in -1.5811 for x
√(5/2) = (-1.5811)
Simplify
√2.5 = -1.581
Solution does not check
1.581 ≠ -1.581

One solution was found :

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