    Question

# In the Maths test two students, committed the following mistakes while solving a quadratic equation : (i) One of them made a mistake in the constant term and got the roots as 2 and 4. (ii) Another one committed an error in the coefficient of x and got the roots as 3 and 5. But, they realised that they are wrong and they managed to get it right jointly. Find the correct quadratic equation.

A

x2+6x+15=0

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B

x2+15x6=0

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C

x26x+15=0

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D

x217x+6=0

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Solution

## The correct option is C x2−6x+15=0 Since the first person made a mistake in constant term. Therefore, the sum of roots = 2 + 4 = 6 and the second person made a mistake in coefficient of x Therefore, product of roots = 3 × 5 = 15 Required quadratic equation is x2−6x+15=0  Suggest Corrections  0    Join BYJU'S Learning Program
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