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Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained?
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Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots a...
Solving Equation x √12p-x / x-√12p-x = √ p 1 / √ p-1
Step 1: Simplification
First, we need to simplify the equation by multiplying both sides by the denominator in the numerator of the left-hand side:
x √12p-x (√ p-1) = (√ p 1) (x-√12p-x)
Next, we can simplify both sides by distributing the square roots:
x√12p-x√ p-1 = x√ p-12p-x - √12p-x√ p-1
Step 2: Isolating the Radical
Now, we need to isolate the radical on one side of the equation. We can do this by moving all the terms with square roots to one side of the equation:
x√12p-x√ p-1 + √12p-x√ p-1 = x√ p-12p-x
Next, we can simplify the left-hand side by factoring out the common factor of √ p-1:
(x√12p-x + √12p-x)√ p-1 = x√ p-12p-x
Step 3: Solving for x
Now we can solve for x by dividing both sides by the expression in parentheses on the left-hand side:
x = (x√12p-x + √12p-x)√ p-1 / √ p-12p-x
Step 4: Rationalizing the Denominator
Finally, we can simplify the expression by rationalizing the denominator. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator:
x = (x√12p-x + √12p-x)√ p-1 (√ p+12p-x) / (√ p+12p-x) (√ p-12p-x)
Now we can simplify the expression by distributing and canceling out terms:
x = (√ p-12p-x) (x√12p-x + √12p-x) (√ p+12p-x) / (p-12p-x)
These are the roots obtained by solving the given equation.
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Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained?
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Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained?.
Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solving equation x √12p-x / x-√12p-x = √ p 1 / √ p-1 following roots are obtained?.
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