One solution was found :
x = 1.5811Radical Equation entered :
x = √(5/2)
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Step by step solution :
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Step 1 :
Isolate the square root on the left hand side :
Original equation
x = √(5/2)
Isolate
-√(5/2) = -x
Tidy up
√(5/2) = x
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
(√(5/2))2 = (x)2
After squaring
(5/2) = x2
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
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
√(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
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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
√(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 :
x = 1.5811Tidy Up 5.2.0 Cr2 File
Tidy Up 5.2.0 Cr2 Free
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