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Zero is an acceptable value for a variable.
As a general rule, if you solve an equation and get x equals zero, that's just what it is: zero. There is one solution.
Example: 10x +1 = 5x +1
5x = 1 - 1
5x = 0
x = 0
There is one solution, zero.
If you solve for x and get two solutions, such as 2 and 0, there are two answers.
Later on, if you've studied domain and range (the numbers you can use for x so that the equation is still defined, (i.e. not 1/0, or the square root of negative 1), you may find that x = 0 does not always work. You need to check first, to see if zero is in the domain, before you say it's an answer.
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X-4y equals 2 x plus 4y equals 2?
If x - 4y = 2 and x + 4y = 2 then the only solution is when y = 0 and thus x = 2.
Which is the solution set for 3x2 - 4x - 15 equals 0?
3x2-4x-15 = 0 (3x+5)(x-3) = 0 x = -5/3 or x = 3
Which is a solution to 2x2 - 7x plus 3 equals 0?
2x2-7x+3 = 0 (2x-1)(x-3) = 0 x = 1/2 or x = 3
What is the solution set of the equation x squared minus 3x minus 4 equals 0?
X2 - 3X - 4 = 0factored(X + 1)(X - 4)----------------X = - 1X = 4-------------------(- 1, 0) and (4, 0)================solution set of X interception points
What is the solution for cosec x equals 0?
The solution for cosec x equals 0 can be found by identifying the values of x where the cosecant function equals 0. Cosecant is the reciprocal of the sine function, so cosec x = 0 when sin x = 1/0 or sin x = undefined. This occurs at multiples of π, where the sine function crosses the x-axis. Therefore, the solutions for cosec x = 0 are x = nπ, where n is an integer.
