JEE Class main Answered
If the difference between roots of the equation x2+ax+3=0 is less than ?3 then sum of all the integral of x is equal to
Asked by yadavashishkryadav | 13 Jan, 2023, 21:43: PM
Let m and n be the roots of this quadratic equation where m>n
![rightwards double arrow straight m minus straight n less than square root of 3
Now comma space straight m plus straight n equals negative straight a space and space mn equals 3
rightwards double arrow left parenthesis straight m plus straight n right parenthesis squared equals straight a squared space rightwards double arrow left parenthesis straight m minus straight n right parenthesis squared plus 4 mn equals straight a squared
rightwards double arrow left parenthesis straight m minus straight n right parenthesis squared plus 12 equals straight a squared
rightwards double arrow straight a squared equals left parenthesis straight m minus straight n right parenthesis squared plus 12 less than 3 plus 12 equals 15
rightwards double arrow straight a squared less than 15
rightwards double arrow straight a element of left parenthesis negative square root of 15 comma space square root of 15 right parenthesis](https://images.topperlearning.com/topper/tinymce/cache/8a629c8b926a775254272cdbd834a899.png)
Answered by Renu Varma | 16 Jan, 2023, 11:28: AM
JEE main - Maths
Asked by shronika | 25 Jun, 2024, 20:44: PM
JEE main - Maths
Asked by padmapadmavati952 | 19 Jun, 2024, 20:52: PM
JEE main - Maths
Asked by nomanmalik8850 | 06 May, 2024, 19:33: PM
JEE main - Maths
Asked by tarunkumarpalleti | 06 Oct, 2023, 04:27: AM
JEE main - Maths
Asked by astudent774 | 08 Feb, 2023, 16:14: PM
JEE main - Maths
Asked by yadavashishkryadav | 13 Jan, 2023, 21:43: PM
JEE main - Maths
Asked by anandprashant2022 | 29 Jul, 2022, 21:44: PM
JEE main - Maths
Asked by mehraakshita419 | 23 Jul, 2022, 08:44: AM