Q.

If a and b be the roots of the equation 2x2 + 2x – 3 = 0 then the value of 2ab is

A. - 6
B. 3
C. 1
D. - 3
Answer» D. - 3
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Fundamentals of Business Mathematics

Discussion

MR

Madhan Raj
1 year ago

The given equation: 2x^2+2x-3=0

The roots of the equation: a and b

We know that the coefficient of is A, coefficient of x is B and the constant term is C.

From the given equation, the values of A, B, and C are as follows-

A=2

B=2

C= -3

We know that the product of the roots of a quadratic equation can be written as C/A.

The product of the roots=a×b=ab

So, ab= -3/2

Now we have to find the value of 2ab.

So, we will multiply the value of ab by 2.

2ab=2×(-3)/2

2ab=(-3)

Therefore, the value of 2ab is -3.
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