Solution of basic linear equation, Algebra

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.

Posted Date: 4/6/2013 4:04:27 AM | Location : United States







Related Discussions:- Solution of basic linear equation, Assignment Help, Ask Question on Solution of basic linear equation, Get Answer, Expert's Help, Solution of basic linear equation Discussions

Write discussion on Solution of basic linear equation
Your posts are moderated
Related Questions
Given a polynomial P(x) along degree at least 1 & any number r there is another polynomial Q(x), called  as the quotient , with degree one less than degree of P(x) & a number R, c

Using transformation sketch the graph of each of the following.                                             g ( x ) = - x 2 Solution (a)  Depending on the placement of

Given f ( x ) = 2 + 3x - x 2   and g ( x ) = 2 x -1 evaluate ( f + g ) ( 4) Solution Through evaluate we mean one of two things based on what is in the parenthesis. If the

I have 4 word problem on my review that I cant figure out. Can you help me?

if you have coupon for 450 off your camera purchase of $100 or at Zeke''s camera world. write a function relating a camera''s purchase price after coupon.y, to the retail price,x.


the kinetic energy of an object varies directly as the square of its velocity. A certain object traveling at 80 feet per second has a kinetic enrgy of 240 foot-pounds. what would b

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

By mid - February of 2009 the number of out of state applications to the university of Colorado had decreased by about 19% compared to the same time the previous year. If the scho

How to solve the complex RAE?