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If one root of quadratic equation x*2-3x k=0 is 2 then value of k?
Most Upvoted Answer
If one root of quadratic equation x*2-3x k=0 is 2 then value of k?
Explanation:
Let's assume another root of the quadratic equation is a. Then, we can write the equation as:
x*2 - 3x k = (x - 2)(x - a)
Expanding the right side of the equation:
x*2 - (a + 2)x + 2a = x*2 - 3x + k
Equating the coefficients of x and the constant terms:
a + 2 = 3
2a = k
Solving the first equation for a:
a = 1
Substituting a = 1 in the second equation:
2a = k
2(1) = k
k = 2
Conclusion:
Therefore, the value of k is 2.
Community Answer
If one root of quadratic equation x*2-3x k=0 is 2 then value of k?
Let p(x) = x^2 - 3x +k = 0
Put x = 2
(2^2) - 6 + k = 0
4 - 6 + k = 0
-2 + k = 0
k = 2
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If one root of quadratic equation x*2-3x k=0 is 2 then value of k? 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 one root of quadratic equation x*2-3x k=0 is 2 then value of k? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one root of quadratic equation x*2-3x k=0 is 2 then value of k?.
If one root of quadratic equation x*2-3x k=0 is 2 then value of k? 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 one root of quadratic equation x*2-3x k=0 is 2 then value of k? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one root of quadratic equation x*2-3x k=0 is 2 then value of k?.
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