Which of the following equations has the sum of its roots as 3?

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2 x 2 − 3 x + 6 = 0

− x 2 + 3 x − 3 = 0

2 x 2 − 32 x + 1 = 0

3 x 2 − 3 x + 3 = 0

answer is B.

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Detailed Solution

We need to find the equation where the sum of the roots of the equation is 3.
We know,
Sum of roots of

a x 2 + b x + c = 0

− b a

.
In option (1),

Sum of roots of 2 x 2 − 3 x + 6 = 0 is, ⇒ − − 3 2 ⇒ 32 ⇒ This option is incorrect .

In option (2),

Sum of roots of − x 2 + 3 x − 3 = 0 is, ⇒ − b a ⇒ − 3 − 1 ⇒ 3 ⇒ This option is correct .

In option (3),

Sum of roots of 2 x 2 − 32 x + 1 = 0 is, ⇒ − − 3 2 2 ⇒ 32 ⇒ This option is incorrect .

In option (4),

Sum of roots of 3 x 2 − 3 x + 3 = 0 is, ⇒ − − 3 3 ⇒ 1 ⇒ This option is incorrect .

Hence, option 2 is correct.

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