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How do you solve absolute-value equations and inequalites?
Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.
Why do we substitute zero for the value of y when finding the solutions of quadratic equations?
Because the solutions are found on the x axis when y is zero.
How do you solve integers and absolute value?
To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.
What is it called when the absolute value of a number is negative?
An absolute value can never be a negative. An absolute value is just the distance the # is from the zero...so again for it to be negative thats not possible
How many solutions does a quadratic equation and an absolute value equation have?
They each typically have two solutions, a positive one and a negative one.
How many solutions do absolute value equations have?
An equation with absolute values instead of simple variables has twice as many solutions as an otherwise identical equation with simple variables, because every absolute value has both a negative and a positive counterpart.
What are the solutions of the equation open absolute value x close absolute value minus 19 equals negative 3?
You can write this as two equations, and solve them separately. The two equations are:x - 19 = -3and:-x - 19 = -3
What are two absolute value equations that share a vertex?
In math a normal absolute value equations share a vertex.
What absolute value inequality has 6 and -10 as two of its solutions?
There are many possible answers but the simplest is |x + 2| = 8
How do you solve absolute value inequalities?
The absolute value of something is also the square root of the square of that something. This can be used to solve equations involving absolute values.
What are two absolute value equations that share part of a ray?
A ray, is a line that starts at one point and goes on forever. Two absolute value equations that could share part of a ray are 0,0 and 30,30.
How do you solve absolute-value equations and inequalites?
Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.
What do you call solutions to equations?
The Solution of an equation is the value of the variable that makes the equation truean answer
How do you solve equations involving absolute value?
Definition of Absolute Value: Absolute Value is the constant distance from zero; meaning that the distance from zero for any number, both positive and negative, is the same for each individual number.Example: Find the absolute value of " l -123 l "The distance from -123 from zero and the distance from 123 is the same; this goes for any number.Absolute value of l -123 l is equal to 123.*Note* Absolute Value is always Positive.Now, onto the infamous equations involving absolute value.Let's make up an equation.l 2x + 2 l = 26To find the value of X, you must always assume the existence of both positive and negative solutions; hence, it is called absolute value as explained above.Set up two equations; one for positive, one for negative.2x + 2 = 26 2x + 2 = -26Solve individually for X.2x + 2 = 26Subtract 2 from each side.2x = 26 - 22x = 24Divide 2 on each side.x = 12Onto the other equation.2x + 2 = -26Similarly, subtract 2.2x = -28Divide by 2.x = -14The two solutions are x = 12 and x = -14 which can be denoted by:X {12, -14}*To Check for Extranneous Solutions; ALWAYS substitute the values back in to see if they are valid.*
Why do we substitute zero for the value of y when finding the solutions of quadratic equations?
Because the solutions are found on the x axis when y is zero.
How do you solve integers and absolute value?
To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.
What is it called when the absolute value of a number is negative?
An absolute value can never be a negative. An absolute value is just the distance the # is from the zero...so again for it to be negative thats not possible
