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How many solutions does the following equation have? |4x + 12| = 0
Solution:
A modulus function gives the magnitude of a number irrespective of its sign.
It is also called the absolute value function.
In mathematics, the modulus of a real number x is given by the modulus function, denoted by |x|.
Given equation |4x + 12| = 0
Case 1: if x is positive then |4x + 12| = 0 becomes 4x + 12 = 0
4x = -12
x = -3
Case 2: if x is negative then |4x + 12| = 0 becomes - (4x+12) = 0
-4x = 12
x=-3
Therefore, it has only one solution
How many solutions does the following equation have? |4x + 12| = 0
Summary:
The equation |4x + 12| = 0 has only 1 solution that is x = -3.
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