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If the roots of the equation x^2+p x+q=0 are 19^ and 26^ , then which one of the following is correct ?

Options

  1. Aq - p =1
  2. Bp - q =1
  3. Cp+q=2
  4. Dp+q=3

Correct answer

A. q - p =1

Step-by-step solution

Given, 19^ and 26^ are roots of x ^2+ px + q =0 19^ + 26^ = -p 1 =-p aligned & ( 19^ ) ( 26^ )= q 1 =q & (19^ +26^ )= 19^ + 26^ 1- 19^ 26^ & 45^ = -p 1-q & 1= -p 1-q & 1- q =- p & q - p =1 aligned

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