Question

The no. of integral solution of x^2 - 3x - 4 < 0 is​

Answer 1

Answer:

        4

Step-by-step explanation:

     x² - 3x - 4  <  0

⇔  4x² - 12x - 16  <  0

⇔  (2x - 3)² - 25  <  0

⇔  (2x - 3)²  <  25

⇔  -5  <  2x - 3  <  5

⇔  -2  <  2x  <  8

⇔  -1  <  x  <  4

So the only integer solutions are 0, 1, 2, 3.

There are 4 integral solutions.