Maths-
General
Easy
Question
Solve the radical equation. Check for extraneous solutions
Hint:
Rearrange the equation and then solve for x.
The correct answer is: x = 4
Complete step by step solution:
Here we have the equation
On rearranging, we have
On squaring, we have
Now, this is a quadratic equation with a = 1, b = -18, c = 56
Roots can be found with,
On solving, we get x = 14, 4
On substituting the value of x in the equation, we get
Hence x = 14 works.
Now, we have
Hence x = 4 does not work.
Hence x = 4 is an extraneous solution.
Now, this is a quadratic equation with a = 1, b = -18, c = 56
Roots can be found with,
On solving, we get x = 14, 4
On substituting the value of x in the equation, we get
Hence x = 14 works.
Now, we have
Hence x = 4 does not work.
Hence x = 4 is an extraneous solution.
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