if x squrare - 3 x minus 4 less than zero then X lies in which interval?
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The 'x' from the expression (x² - 3x - 4 < 0) lies between the interval -1 and 4
Step-by-step explanation:
Given Data
Find in which interval 'x' lies in an expression x² - 3x - 4 < 0
The given expression (x² - 3x - 4) is in the form of quadratic equation.
We can solve the quadratic equation as follows
x² - 3x - 4 < 0
=> x² - 4x + x - 4 < 0
=> x ( x- 4) + 1 (x-4) < 0
=> ( x- 4) , (x + 1) < 0
=> ( x- 4) < 0
=> x = 4
And , => ( x + 1) < 0
=> x = -1
Therefore for an expression (x² - 3x - 4 < 0) the value of 'x' lies between the interval -1 and 4
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