Question

If a-b = 5 and a*b = 14, then find the value of $a^{2} - b^{2}$

Answer 1

Step-by-step explanation:

The given

a-b=5-------------(¡)

a×b=14------------(¡¡)

from equation (¡)

a=5+b

A put on equation (¡¡)

(5+b)×(b)=14

5b+b^2=14

5b+b^2-14=0

b^2+5b-14=0

b^2+7b-2b-14=0

b(b+7)-2(b+7)=0

(b+7)(b-2)=0

b-2=0

b=2

b put on equation (¡)

a-b=5

a=b+5

a=2+5

a=7

Now a^2-b^2

(7)^2-(2)^2

49-4

45

a^2-b^2=45 answer