Question
Solve the radical equation Check for extraneous solutions
Hint:
Rearrange the equation and then solve for x.
The correct answer is: Hence no extraneous solution
Complete step by step solution:
Here we have the equation
On squaring both the sides, we have
On rearranging, we have
Now, this is a quadratic equation with a = 4, b =-17, c = 15
Roots can be found with,
On solving, we get
Here, on substituting in given equation we get
Hence x = 3 works.
Now
Hence works.
Hence no extraneous solution.
On rearranging, we have
Now, this is a quadratic equation with a = 4, b =-17, c = 15
Roots can be found with,
On solving, we get
Here, on substituting in given equation we get
Hence x = 3 works.
Now
Hence works.
Hence no extraneous solution.
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