If the roots, x1 and x2, of the quadratic equation x2 – 3x + p = 0 also satisfy the equation 5x2 – 4x1 = 51, then which of the following is true?
Explanation:
5x2 – 4x1 = 51 …(1)
Also, x1 + x2 = 3 …(2) [∵ sum of the roots of a QE = -b/a]
Solving (1) & (2), we get x1 = 7 & x2 = -4
∴ p = 7 × -4 = -28 [∵ product of the roots of a QE = c/a]
Hence, option (a).
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