In solving a problem one student makes a mistake in the coefficient of the first degree term and obt...........

Quantitative Aptitude (CDS) Quadratic Equations

In solving a problem one student makes a mistake in the coefficient of the first degree term and obtains -9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was

x² + 10x + 9 = 0

x2 − 10x + 16 = 0

x² − 10x + 9 = 0

None of thee

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Explanation:

When mistake is done in first degree term the roots of the equation are -9 and -1.
(x + 1)(x + 9) = x² + 10x + 9 ….. (i)
When mistake is done in constant term, the roots of the equation are 8 and 2
(x − 2)(x − 8) = x²− 10x + 16 ….. (ii)
Required equation from (i) and (ii)
x² − 10x + 9