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If the equation one roots of x2-8x+a is 5 then find the other roots and value of a?
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If the equation one roots of x2-8x+a is 5 then find the other roots an...
Given:
One root of the equation x^2 - 8x + a is 5.
Finding the other root:
Let the other root be denoted as r.
According to the sum of roots property of a quadratic equation, the sum of roots is equal to the negative coefficient of x divided by the coefficient of x^2.
Therefore, the sum of roots = 8.
So, 5 + r = 8
=> r = 3
Finding the value of a:
The product of roots of a quadratic equation is equal to the constant term divided by the coefficient of x^2.
Therefore, the product of roots = a.
So, 5 * 3 = a
=> a = 15
Conclusion:
The other root of the equation x^2 - 8x + a is 3 and the value of a is 15.
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If the equation one roots of x2-8x+a is 5 then find the other roots and value of a?
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If the equation one roots of x2-8x+a is 5 then find the other roots and value of a? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the equation one roots of x2-8x+a is 5 then find the other roots and value of a? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the equation one roots of x2-8x+a is 5 then find the other roots and value of a?.
If the equation one roots of x2-8x+a is 5 then find the other roots and value of a? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the equation one roots of x2-8x+a is 5 then find the other roots and value of a? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the equation one roots of x2-8x+a is 5 then find the other roots and value of a?.
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