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If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is?
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If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is?
Solution:
Understanding the Sub-Duplicate Ratio
The sub-duplicate ratio of two numbers p and q is given by:
(p - x^2) : (q - x^2) = (p : q)^1/2
Expanding the Equation
We can expand the equation to get:
p - x^2 = (p : q)^1/2 * (q - x^2)
Simplifying the Equation
Simplifying the equation we get:
p - x^2 = (p/q)^1/2 * q - (p/q)^1/2 * x^2
Moving the terms
Moving the x^2 terms to one side, we get:
x^2 * [(p/q)^1/2 + 1] = p - (p/q)^1/2 * q
Calculating x^2
Finally, solving for x^2 we get:
x^2 = [p - (p/q)^1/2 * q] / [(p/q)^1/2 + 1]
Conclusion
Therefore, x^2 is given by the above equation, which can be used to find the value of x^2 for any given values of p and q.
Understanding the Sub-Duplicate Ratio
The sub-duplicate ratio of two numbers p and q is given by:
(p - x^2) : (q - x^2) = (p : q)^1/2
Expanding the Equation
We can expand the equation to get:
p - x^2 = (p : q)^1/2 * (q - x^2)
Simplifying the Equation
Simplifying the equation we get:
p - x^2 = (p/q)^1/2 * q - (p/q)^1/2 * x^2
Moving the terms
Moving the x^2 terms to one side, we get:
x^2 * [(p/q)^1/2 + 1] = p - (p/q)^1/2 * q
Calculating x^2
Finally, solving for x^2 we get:
x^2 = [p - (p/q)^1/2 * q] / [(p/q)^1/2 + 1]
Conclusion
Therefore, x^2 is given by the above equation, which can be used to find the value of x^2 for any given values of p and q.
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If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is?
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If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is? 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 If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is?.
If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is? 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 If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p : q is the sub- duplicate ratio of p - x^2 : q - x^2 then x^2 is?.
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