Question

if a+b=5 and ab =6 find the value of a-b​

Answer 1

Answer:

Step-by-step explanation:

(A-b)^2=(a-b)^2+a-b,a-b=√5^2+6^2,√61a-b=√61

Answer 2

Answer:

Either:

a = 2 and b = 3

Or

a = 3 and b = 2

Step-by-step explanation:

a + b = 5 ...eqn1

ab = 6

therefore, b = 6/a, putting in eqn1

a + 6/a = 5

Multiplying by a...

a^2 + 6 = 5a

a^2 - 5a + 6 = 0

a^2 - 2a - 3a + 6 = 0

a(a - 2) - 3(a - 2) = 0

(a - 2)(a - 3) = 0

a = 2 or 3

b = 3 or 2