Question

If a + b = 5 and ab = 6, then the value of a - bis :​

Answer 1

Answer:

2 3

Step-by-step explanation:

a-2

b-3

but also a-3, 2

b-3, 2

Answer 2

Answer:

-1, 0, and 1

Step-by-step explanation:

Equation 1: a + b = 5

Equation 2: ab = 6

From equation 1, we can say that a = 5-b

Then using equation 2..

ab = 6

(5-b)(b) = 6

5b - b^2 = 6

b^2 - 5b + 6 = 0

By factoring it becomes..

(b-3)(b-2)

Thus, b = 3 and 2

Going back to equation 1..

a + b = 5

a + 3 = 5

a = 5 - 3

a = 2

a + 2 = 5

a = 5 - 2

a = 3

Hence, a - b can be..

▪3 - 3 = 0

▪3 - 2 = 1

▪2 - 3 = -1

▪2 - 2 = 0