If [(a+b,2)(5,ab)]=[(6,2)(5,8)]then the values of a and b are: 1. a = 4, b = 2 2. a = 2, b = 4 3. both (a) and (b) 4. none of these

Question

KnowledgeBoat · Accepted Answer

Given, ∴ a + b = 6 ⇒ b = 6 - a...(1) ∴ ab = 8...(2) Substituting value of b from equation(1) in ab = 8, we get: ⇒ a (6 - a) = 8 ⇒ 6a - a2 = 8 ⇒ a2 - 6a + 8 = 0 ⇒ a2 - 4a - 2a + 8 = 0 ⇒ a(a - 4) -2(a - 4) = 0 ⇒ (a - 2)(a - 4) = 0 (a - 2)= 0 or (a - 4) = 0 [Using zero product rule] ⇒ a = 2 or a = 4 If a = 2, then b = 6 − 2 = 4. If a = 4, then b = 6 − 4 = 2. Hence, option 3 is the correct option.

Mathematics

If [(a+b,2)(5,ab)]=[(6,2)(5,8)]then the values of a and b are: 1. a = 4, b = 2 2. a = 2, b = 4 3. both (a) and (b) 4. none of these

Matrices

Related Questions