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

Ratios, How do you simplfly 25 and 15 if u say 5 and the teacher thinks it'...

How do you simplfly 25 and 15 if u say 5 and the teacher thinks it''s wrong?

Simplification, how to simplify (2p+3q){whole cube} - 18q(4p {square} - 9q ...

how to simplify (2p+3q){whole cube} - 18q(4p {square} - 9q {square})+(2p - 3q){whole cube} using simple formulae ?

Exchange rate, #question. in january sunanda changed 25000 pounds into doll...

#question. in january sunanda changed 25000 pounds into dollars when the exchange rate was $1.96= 1 pounin june she changed the dallars back into when the exchange rate was $1.75=1

Inequality and interval notation, Solving the following inequalities.  Give...

Solving the following inequalities.  Give both inequality and interval notation forms of the solution. -2 ( m - 3) Solution Solving out single linear inequalities follo

Algebra 2, how to find the zero of an equation

how to find the zero of an equation

Student, find the level of illumination for four fixtures rated at 2800 lum...

find the level of illumination for four fixtures rated at 2800 lumens each if the coefficient of depreciation is 0.75, the coefficient of utilization is 0.6, and the area of the ro

Price for demand, The national demand and price for a certain type of energ...

The national demand and price for a certain type of energy-efficient exhaust fan are related by p=490-4/5q, where p is the price(in dollars) and q is the demand (in thousands). The

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