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Class 10MathematicsPolynomialsPolynomials in one variableHard
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If (\alpha) and (\beta) are zeroes of the quadratic polynomial (x^2-6x+k) and (\alpha^2+\beta^2=20), what is the value of (k)?

Answer and explanation

Correct answer: (8)

Here (\alpha+\beta=6) and (\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta). So (20=36-2k), giving (k=8).

Related tags

PolynomialsZeroesIdentityHardPolynomials In One VariableMathematicsClass 10 Mcq
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