RTCNTC said:-3|x+5| + 1 = 7|x+5| + 8 Solution:
-3|x+5| – 7|x+5| = 7
-10 |x+5| = 7
|x+5| = -7/10
MarkFL said:When you reach this point, then you should observe that you have a problem...can you identify the problem?
An absolute value equation is an equation that contains an absolute value expression, which is a mathematical notation that indicates the distance between a number and zero on a number line. It is represented by two vertical bars surrounding the number or variable inside.
To solve an absolute value equation, you must first isolate the absolute value expression on one side of the equation. Then, you must split the equation into two separate equations, one with a positive value and one with a negative value. Solve each equation separately and check your solutions to make sure they satisfy the original equation.
The main properties of absolute value equations are:
Yes, an absolute value equation can have more than one solution. This usually happens when the equation contains more than one absolute value expression and the resulting equation has multiple solutions that satisfy the original equation.
Absolute value equations are used in various fields of science and engineering, such as physics, chemistry, and economics. They are also used in everyday life, for example, to calculate distances, temperatures, and prices. In addition, they are an important tool in computer science for programming algorithms and in statistics for analyzing data.