Question

5. If [P(A)]² + 2[P(A)- 3 =0 then find the value of P(A).​

Answer 1

Step-by-step explanation:

Given:-

P(A)]² + 2[P(A)- 3 =0

To find:-

If [P(A)]² + 2[P(A)- 3 =0 then find the value of P(A).

Solution:-

Given equation is [P(A)]² + 2P(A)- 3 =0

=>[P(A)]² -P(A) + 3 P(A) - 3 =0

=>P(A) [P(A) -1] +3[P(A)-1] = 0

=>[P(A) -1][P(A)+3] = 0

=>[P(A) -1] = 0 (or) [P(A)+3] = 0

=>P(A) = 1 or P(A) = -3

Answer:-

The values of P(A) are 1 and -3

Used method:-

• Factorization method

Check:-

If P(A) = 1 then

(1)^2 +2(1)-3

=>1+2-3

=>3-3

=>0

If P(A) = -3 then.

(-3)^2 +2(-3)-3

=>9-6-3.

=>9-9

=>0

Verified the given relations

Answer 2

Step-by-step explanation:

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