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Question -

Choose the correct answer from the given four options in the following questions-->



Answer -

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

(A) 2x2 – 3x + 6 = 0                 (B) –x2 +3x – 3 = 0

(C) √2x– 3/√2x+1=0               (D) 3x2 –3x + 3 = 0

Solution:

(B) –x2 + 3x – 3 = 0

The sum of the roots of a quadratic equationax2 + bx + c = 0, a ≠ 0 is given by,

Coefficient of x / coefficient of x2 =– (b/a)

(A) Given, 2x2 – 3x + 6 = 0

Sum of the roots = – b/a = -(-3/2) = 3/2

(B) Given, -x2 + 3x – 3 = 0

Sum of the roots = – b/a = -(3/-1) = 3

(C) Given, √2x–3/√2x+1=0

2x2 – 3x + √2 = 0

Sum of the roots = – b/a = -(-3/2) = 3/2

(D) Given, 3x2 – 3x + 3 = 0

Sum of the roots = – b/a = -(-3/3) = 1

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