Question

A = `[(5, a^3),(a^2, 1)], "B" = [(5, -27),(9, 1)]`. For what values of ‘a’ does equality occur?

Answer 1

Equate corresponding entries

a³ = −27   ...(i)

a² = 9   ...(ii)

Solve the equations,

From equation (i)

a³ = −27

a = `root3 (-27)`

a = −3

From equation (ii)

a² = 9

a = `sqrt9`

a = ±3

Find the common value,

The value of aaa that satisfies both equations is:

a = −3