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If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?
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If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube ...
Problem: Find the value of r if the roots of the equation x^2 × r=0 are alpha and beta, and alpha cube beta cube = -6.
Solution:
Step 1: Understanding the given equation and the roots
Step 2: Expressing the roots in terms of their sum and product
Step 3: Using the given information to find the value of r
Conclusion: There is no value of r that satisfies the given equation x^2 × r = 0 and the information alpha cube beta cube = -6.
Solution:
Step 1: Understanding the given equation and the roots
- The given equation is x^2 × r = 0.
- This equation has two roots, alpha and beta.
Step 2: Expressing the roots in terms of their sum and product
- The sum of the roots is given by the formula alpha + beta = -b/a, where a and b are the coefficients of the quadratic equation ax^2 + bx + c = 0.
- In this case, a = r and b = 0, so the sum of the roots is alpha + beta = 0.
- The product of the roots is given by the formula alpha × beta = c/a.
- In this case, a = r and c = 0, so the product of the roots is alpha × beta = 0.
Step 3: Using the given information to find the value of r
- The given information is alpha cube beta cube = -6.
- We can express alpha cube beta cube in terms of the sum and product of the roots as follows:
- alpha cube beta cube = (alpha × beta)^3 = (c/a)^3 = 0^3 = 0.
- Therefore, we have 0 = -6, which is not possible.
- Hence, there is no value of r that satisfies the given equation and information.
Conclusion: There is no value of r that satisfies the given equation x^2 × r = 0 and the information alpha cube beta cube = -6.
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If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?
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If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? 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 the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?.
If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? 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 the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of equation x^2 × r=0 are alpha and beeta and alpha cube beeta cube =-6 find the value of r?.
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