Question #5693e

1 Answer
Oct 30, 2017

We have two factors of A that is A= -2 and 7.

Explanation:

Given,

A^2=5*A+14
i.e A^2-5*A-14=0

Now search for two such numbers which when added gives the
sum = -5 and on multiplication gives product = -14.

Two such numbers are -7 and 2

Thus on factorising we have,

A^2-7*A+2*A-14=0
A*(A-7)+2*(A-7)=0
(A+2)*(A-7)=0

Therefore, either (A+2)=0 or(A-7)=0

A= -2 or 7