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

Greastest common factors, what is the greastest common factor of 16x^y^3and...

what is the greastest common factor of 16x^y^3and 12x

Quantities, solve 3 different ways (3/x to the 2 power) to the -3power

solve 3 different ways (3/x to the 2 power) to the -3power

Math 092, A student''s tuition was $3008. A loan was obtained for 7/4 of th...

A student''s tuition was $3008. A loan was obtained for 7/4 of the tuition. How much was the loan? The student''s loan was for?

Quadratic equations, Ask question #Minimum 100 words is accepted# is help...

Ask question #Minimum 100 words is accepted# is help available for categories listed above

Ixl, 2.51 x 10^14 >

2.51 x 10^14 >

Mixed numbers and improper fractions, how do you make the fraction 17 5ths ...

how do you make the fraction 17 5ths a mixed number?????

#Case 1, The diet problem, one of the earliest applications of linear progr...

The diet problem, one of the earliest applications of linear programming, was originally used by hospitals to determine the most economical diet for patients. Known in agricultu

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