If A and B are zeroes of the quadratic polynomial f(x) = 6x² + x - 2 , find the value of A/B + B/A.
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Step-by-step explanation:
i know, it is from maths reference R.D sharma
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Answer:
-25/12
Step-by-step explanation:
==: 6x² + x - 2 = 0
==: 6x² + 4x - 3x - 2 = 0
==: 2x ( 3x + 2 ) - 1 (3x + 2 ) = 0
==: ( 3x + 2 ) ( 2x - 1 ) = 0
==: x = -2/3 and 1/2
Zeroes = -2/3 (A) and 1/2 (B)
==: A/B + B/A
==: (-2/3 ÷ 1/2) + (1/2 ÷ -2/3)
==: (-2/3 * 2) + (1/2 * -3/2)
==: (-4/3) + (-3/4)
==: -25/12
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