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Question
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
9a2b2x2 - 48abc + 64c2d2 = 0, a ≠ 0, b ≠ 0
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Solution
9a2b2x2 - 48abc + 64c2d2 = 0
Here, D = b2 - 4ac
⇒ (-48abcd)2 - 4 x 9a2b2 x 64c2d2
2304a2b2c2d2 - 2304a2b2c2d2 = 0
D = 0
Roots are real and equal.
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