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Standard X

Mathematics

nth Term of an AP

In solving a ...

Question

In solving a problem, one student made a mistake in the coefficient of the first degree term and obtained -9 and -1 as the roots. Another student made a mistake in the constant term of the equation and obtained 8 and 2 for the roots. Assuming the coefficient of x² as 1, the correct equation was-

x²+ 10 x + 9 = 0

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x² - 10x +9 = 0

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x² - 10x + 16 = 0

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None of these

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Solution

The correct option is B
x² - 10x +9 = 0

According to the first set of solutions, equation:

(x + 9)(x + 1) = 0

x² + 10x + 9 = 0 [Constant term is correct]

According to the second set of solutions:

(x - 8)(x - 2) = 0

x² -10x + 16 = 0 [Coefficient of x is correct]

So, the correct equation is x² - 10x + 9 = 0 [Taking the correct terms from above equations]

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In solving a problem, one student made a mistake in the coefficient of the first degree term and obtained -9 and -1 as the roots. Another student made a mistake in the constant term of the equation and obtained 8 and 2 for the roots. Assuming the coefficient of x2 as 1, the correct equation was-

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