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Other Ways to Solve
Radical equationsStep by Step Solution
Radical Equation entered :
-1 = √-10n-√10n-1
Step 1 :
Isolate a square root on the left hand side :
Original equation
-1 = √-10n-√10n-1
Isolate
-√-10n = 1-√10n-1
Tidy up
√-10n = -1+√10n-1
Step 2 :
Eliminate the radical on the left hand side :
Raise both sides to the second power
(√-10n)2 = (-1+√10n-1)2
After squaring
-10n = 10n-1+1-2√10n-1
Step 3 :
Get remaining radical by itself :
Current equation
-10n = 10n-1+1-2√10n-1
Isolate radical on the left hand side
2√10n-1 = 10n+10n-1+1
Tidy up
2√10n-1 = 20n
Step 4 :
Eliminate the radical on the left hand side :
Raise both sides to the second power
(2√10n-1)2 = (20n)2
After squaring
40n-4 = 400n2
Step 5 :
Solve the quadratic equation :
Rearranged equation
400n2 - 40n + 4 = 0
This equation has no real roots:
Step 6 :
No solutions exist
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