Question

Two numbers a and b are such that the quadratic equation ax² + 3x + 2b = 0 has - 6 as the sum and
the product of the roots. Find a + b.
​

Answer 1

Answer:

here the value of a = -1/2 and b = 6

Answer 2

Given,

A quadratic equation ax²+3x+2b = 0 with -6 as the sum and product of its roots.

To Find,

The value of a+b.

Solution,

The given quadratic equation is

ax²+3x+2b = 0

Sum of roots = -b/a = -6

-b/a = -6

-3/a = -6

a = 1/2

Also, product of zeroes = c/a = -6

2b/a = -6

4b = 6

b = 3/2

So, a+b = 1/2+3/2 = 4/2 = 2

Hence, the value of a+b is 2.