Question

If a² + b² = 25 and ab = 12, find the value of:
(a) a + b
(b) a-b​

Answer 1

Step-by-step explanation:

A²+B² =25 ………(1)

AB=12

Then 2AB= 24 ( multiply both side by 2)……..(2)

Additing (1) & (2)

A²+B²+2AB = 25+24

(A+B)² = 49

A+B = 7 …….(3) (square root both side)

Now, substract (1) - (2)

A²+B²-2AB = 25–24

(A-B)²= 1

(A-B)=1 ………(4)

Now from (3) & (4)

(A+B)÷(A-B) = 7.