Solving the Absolute Value Equation
The given equation is $|x \times 1| = 0$. This simplifies to $|x| = 0$.
Finding Solutions
The absolute value of a number, $|x|$, represents its distance from zero on the number line. The only number whose distance from zero is zero is zero itself. Therefore, the only solution to the equation $|x| = 0$ is $x = 0$.
Identifying Positive Solutions
The question specifically asks for the number of positive solutions. Positive numbers are strictly greater than zero ($x > 0$). Since the only solution found is $x = 0$, and 0 is not a positive number, there are no positive solutions to the equation.
Thus, the total count of positive solutions is 0.
Similar Questions
Simplify: $3((\frac{5}{3})x^2 - 28x + 15) - 5(x^2 + 6x - 15)$
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- Which of the following number, when added to itself 14 times gives 135 as result?
- Simplify $x(7x - 2) + 5(x^2 - 3) + 13$.
- If $a + b = 5$ and $ab = 13$, then what will be the value of $a^3 + b^3$?
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Important Questions from Algebric Equations
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
Simplify the following expression:
\(\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x - y)(y - z)(z - x)}\)
