Question

In this question, we define a new operation in arithmetic, using xxas a symbol. a xxb = ab + a – b For example, 3xx7 = 21 + 3 - 7 = 17 a.Calculate 5 xx2 b. Calculate 3 xx1/2 c. Solve the equation x xx5 = 8

Answer 1

a. 13 , b. = 4 , c. 2.2

Explanation:

Given : a xx b = ab + b - a

So, no.1 xx no.2 = Product no.1 x no.2 + no.1 - no.2

As evident 3 xx 7 = (3 x 7) + 3 - 7 → 3 xx 7 = 21 + 3 - 7 = 17

Hence, 5 xx 2 = (5 x 2) + 5 - 2 → 5 xx 2 = 10 + 5 - 2 = 13

3 xx 1/2 = 3 (1/2) + 3 - 1/2 = 1.5 + 3 - 0.5 = 4

x xx 5 = 8

x xx 5 = 5x + x - 5

6x - 5 = 8

6x = 13

x = 2.16 ≈ 2.2