Maths-
General
Easy

Question

4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis
In the equation above, p and t  are constants. Which of the following could be the value of p  ?

  1. 2
  2. 3
  3. 4
  4. 9

hintHint:

Hint:
  • If the two quadratic equation is the same then their coefficient will also be the same.
  • We know that left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis equals a squared minus b squared

The correct answer is: 2


    Explanation:
    • We have given an equation 4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis
    • We have to find the value of p
    • We will first rewrite the right-hand side in the quadratic form and then compare the coefficient of the same degree variable.
    Step 1 of 1:
    We have given an equation 4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis
    Now, when we open the right-hand side of the given equation, we will get
    4 x squared minus 9 equals left parenthesis p x plus t right parenthesis left parenthesis p x minus t right parenthesis
    4 x squared minus 9 equals p squared x squared minus t squared
    Here, On comparing both hand sides, we will get
    p squared equals 4
    p equals plus-or-minus 2
    Therefore,p equals 2
    So, Option (A) is correct.

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