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
how to solve the equation of an inverse function

A fish tank has the base area of 45 cm3 and is filled to the depth of 12 cm.If the height is 25 cm then how much more will be needed to fill the rest of the tank?

Set M= {m''s/m is a number from 5 to 10}

Equations of Lines In this part we need to take a view at the equation of a line in R 3 .  As we saw in the earlier section the equation y = mx+b does not explain a line in R

joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the

A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.

Describe about Arithmetic and Geometric Series? When the terms of a sequence are added together instead of separated by commas, the sequence becomes a series. You will use seri

what is a fraction?

how many pendulum swings will it take to walk across the classroom

Next we have to talk about evaluating functions.  Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at