Question

Sum of roots is -3 and product of roots is √3. Write quadratic equation

Answer 1

Answer:

Note:

If A and B are the roots of any quadratic equation in variable x, then it is given as:

x^2 - (A+B)x + A•B = 0

Here,

Sum of the roots = -3

ie; A + B = -3

And,

Product of the roots = √3

ie, A•B = √3

Thus,

Required equation will be given as;

=> x^2 - (A+B)x + A•B = 0

=> x ^2 - (-3)x + √3 = 0

=> x^2 + 3x + √3 = 0

Thus,

The required quadratic equation is;

x^2 + 3x + √3 = 0