Two numbers whose sum is 4 and the absolute value of whose difference is 10 are the roots of the equation
Explanation:
Let α and ß are the roots such that α > ß.
Since sum is positive α must be positive.
Given, α + ß = 4, and α – ß = 10
⇒ 2α = 14
α = 7, and ß = -3
∴ α + ß = 4, αß = -21
The quadratic equation is x2 – 4x – 21 = 0
Hence, option (d).
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