Solution of basic linear equation, Algebra

Assignment Help:

Solve following equations.

(a)   x2 -100 = 0

 (b) 25 y 2 - 3 = 0

Solution

There actually isn't all that much to these problems.  To use the square root property all that we have to do is get the squared quantity on the left side by itself along with a coefficient of 1 and the number on the other side. Once it is done we can employ the square root property.

 (a)

             x2 -100 + 0

It is a fairly simple problem thus here is the work for this equation.

x2  = 100

 x = ± 100 = ±10

Thus, there are two solutions to this equation,

x =±10 .  Remember it means that there are really two solutions here, x = -10 and x =10 .

 (b) 25 y 2 - 3 = 0

The main difference among this one & the previous one is the 25 in front of the squared term.  The square root property desired a coefficient of one there. That's simple enough to deal with but; we'll just divide both sides through 25.  Here is the work for this equation.

                                          25 y 2  = 3

y 2  = 3/25

⇒         y = ±√(3/5) = ±(√3 )/5

In this the solutions are a little messy, but several of these will do so don't worry regarding that. Also note that since we knew what the square root of 25 was we went ahead & split the square root of the fraction up as illustrated.  Again, recall that there are actually two solutions here, one positive & one negative.


Related Discussions:- Solution of basic linear equation

Financial Polynomial., Compounded semiannually P dollars is invested at ann...

Compounded semiannually P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1 + r/2)^2 represents the valu

Tests for symmetry, We've some rather simply tests for each of the distinct...

We've some rather simply tests for each of the distinct types of symmetry. 1. A graph will have symmetry around the x-axis if we get an equal equation while all the y's are repl

Hyperbolas, Find the standard form equation for... 4x^2-y^2+24x+4y+28=0

Find the standard form equation for... 4x^2-y^2+24x+4y+28=0

HELP, imagine you are a health professional interestedin the effects of med...

imagine you are a health professional interestedin the effects of medication on the diastolic blood pressure of adult women. for a certain drug being investigated, you find that fo

Need help with a word problem, a rectangular table is five times as long as...

a rectangular table is five times as long as it is wide. if the area is 45ft2, find the length and width of the table..

#rigid non rigid transformations, #can u tell me some things on rigid and n...

#can u tell me some things on rigid and non rigid transformations

Shapes, I know im not in the exact grade yet but i would like to know how i...

I know im not in the exact grade yet but i would like to know how it works to be ahead of time

Center of the hyperbola, The point where the two asymptotes cross is known ...

The point where the two asymptotes cross is known as the center of the hyperbola. Standard forms There are two standard forms of the hyperbola, one for each type illustrate

Linear equations, how do I solve the equation 0.6(x+60)+0.2x=52

how do I solve the equation 0.6(x+60)+0.2x=52

College Math 136, A boy can row a boat at a constant rate of 5 mi/hr in sti...

A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 18 minutes and then rows downstream, returning to his starting p

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd