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How many number of solutions are there for equation square of mod x minus 3times mod xplus 2 equal zero?
Wiki User
∙ 14y ago
The equation is |x|2-3|x|+2=0
If x>0
then the equation becomes
x2-3x+2=0
(x-2)(x-1)=0
x=1,2
We get two values for x.
If x<0, then the equation is again
x2-3x+2=0
We again get two values.
Therefore, the total number of solutions=4.
Wiki User
∙ 14y ago
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The discriminant must be a perfect square or a square of a rational number.
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How is a radical equation similar to a linear equation?
Technically,no. A radical equation has a radical (Square root) in it, and has two solutions because the square root can be positive or negative.
Explain how to identify whether an equation has no solution or infinitely many solutions?
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
The Square of a number is 5 more than 4 times the number. Find the number that makes the sentence true.?
This is a quadratic equation which will have two solutions: X2 = 4x+5 Rearrange the equation: x2-4x-5 = 0 Factor the equation: (x+1)(x-5) = 0 So the solutions are: x = -1 or x = 5
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The two solutions are coincident.
Do you need to put a plus or minus sign in front of a square root answer you get from finding the inverse of a quadratic equation?
Yes. Quite often, if you don't, you'll lose solutions. That is, the transformed equation - after taking square roots - will have less solutions than the original equation.
What is the solution set to the equation x2 plus 4 equals 0?
There are no real solutions to this equation because you cannot take the square root of a negative number. However,x2 + 4 = 0x2 = -4sqrt(x2) = sqrt(-4)x = 2i, -2ihere are the imaginary solutions.
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Two cases in which this can typically happen (there are others as well) are: 1. The equation includes a square. Example: x2 = 25; the solutions are 5 and -5. 2. The equation includes an absolute value. Example: |x| = 10; the solutions are 10 and -10.
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x2 -y2 =16 This is an equation that describes your problem. We can write this equation as (1/16)x2 -(1/16)y2 =1 You may recognize this as the equation whose graph is a hyperbola. So there are an infinite number of solutions.
