Math, asked by pranshu2688, 1 year ago

Solve the following equation for x:
9x2 - 9(p+q)x + (2p2 + 5pq + 2q2) = 0​

Answers

Answered by TakenName
1

Answer:

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Step-by-step explanation:

Use the factoring method to solve the equation :

9x^2 - 9(p+q)x + (2p^2 + 5pq + 2q^2) = 0.

Factor the constant : 2p^2+5pq+2q^2=(2p+q)(p+2q).

9x^2-9(p+q)+(2p+q)(p+2q)=0

3x                              - ( 2p + q )  →  - 6p - 3p

3x                              - ( p + 2q )  →  - 3p - 6p  → - 9 ( p + q )

(3x-2p-q)(3x-p-2q)=0

x=\frac{2p+q}{3} or x=\frac{p+2q}{3}

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