Question

18. If (3p – 2q) = 5, pq = 4, find (3p + 2q). State the Algebraic Identity II​

Answer 1

Answer:

Given, (3p-2q) = 5

& pq = 4

( 3p + 3q) =?

Step-by-step explanation:

Let, a = 3p & b = 2q

We know,

(a + b) ^2 - ( a - b) ^2 = 4pq

=>( 3p + 2q) ^2 - ( 3p - 2q) ^2 = 4 (3p×2q)^2

=>(3p+2q)^2 - (3p-2q)^2 =4×3×2×pq

=>(3p+2q)^2 - 25 =4×3×2×4

=>(3p+2q)^2 - 25=96

=>(3p+2q)^2 =96+25

=>(3p+2q)^2 =121

=>(3p+2q)=Square root of 121

=>3p+2q=+11 or - 11