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InterviewSolution
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If α and β are the roots of the equation x2 – 8x + k = 0 and α – β = 2, then what is the value of k?1. 102. 153. 124. 16 |
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Answer» Correct Answer - Option 2 : 15 Given: Our quadratic equation is x2 – 8x + k = 0 And α – β = 2 ----(1) Formula used: General form of quadratic equation in terms of roots is x2 – (α + β)x + αβ = 0 Calculation: Our quadratic equation is x2 – 8x + k = 0 By comparing with the general form of quadratic equation, We get α + β = 8 ----(2) From eq (1) and eq(2) we get, α = 5 and β = 3 Now, k = αβ = 15 ∴ The required value of k is 15 |
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