Find solution to an equation or inequality, Mathematics

Illustrates that each of the following numbers are solutions to the following equation or inequality.

(a) x = 3 in x2 - 9 = 0

(b) y = 8 in 3( y + 1) = 4 y - 5

Solution

 (a) First we plug the proposed solution in the equation.

                   633_Find Solution to an equation or inequality1.png

                    9 - 9 = 0

                      0 = 0     

Thus, what we are asking here is does the right side equivalent to the left side after we plug in the proposed solution. That is the meaning of the "?" above the equal sign in the first line.

As the right side & the left side are the similar we say that x = 3 satisfy the equation.

 (b) Thus, we desire to see if y = 8 satisfies equation.  First plug the value into the equation.

914_Find Solution to an equation or inequality.png

                                                             27=27

Thus, y = 8 satisfies the equation and thus is a solution.

We have also done a rapid example of numbers that aren't solution therefore we can see how these will work as well.

Posted Date: 4/6/2013 3:33:12 AM | Location : United States







Related Discussions:- Find solution to an equation or inequality, Assignment Help, Ask Question on Find solution to an equation or inequality, Get Answer, Expert's Help, Find solution to an equation or inequality Discussions

Write discussion on Find solution to an equation or inequality
Your posts are moderated
Related Questions
If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v

Carry out the indicated operation and dropped down the answer to lowest terms.  (x 2 - 5x -14/ x 2 -3x+2) .   (x 2 - 4)/x 2 -14x+49) Solution This is a multiplication.

Need help, please anybody solve this: Consider the universal set T and its subsets A, B and C underneath as: T = {a, b, c, d e, f} A = {a, d} B = {b, c, f} C = {a, c

Average Function Value The first application of integrals which we'll see is the average value of a function. The given fact tells us how to calculate this. Average Functi

Pat is making a Christmas tree skirt. She needs to know how much fabric to buy. Using the example provided, calculate the area of the skirt to the nearest foot. a. 37.7 ft 2

A compound fraction is a fraction that has other fractions inside its numerator or denominator. Here's an example: While compound fractions can look really hairy, they're r

Examples on Log rules: Example:      Calculate (1/3)log 10   2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.


sketch the curve y=9-x2 stating the coordinates of the turning point and of the intersections with the axes.

Mary has $2 in her pocket. She does yard work for four various neighbors and earns $3 per yard. She then spends $2 on a soda. How much money does she have left? This translates