Radical equations and squaring

Assignment Help Algebra

Reference no: EM13119507

In solving an equation involving radicals, it is sometimes necessary to square each side of the equation. But doing this can introduce extraneous roots, which do not satisfy the original equation. After squaring both sides, when you then take the square root of both sides again, you do not get back the original equation exactly. There is a 'loss of information' when both sides of an equation are squared. Can you explain the origin of this phenomenon?

Reference no: EM13119507

Questions Cloud

Calculate the mole fraction : Household vinegar is aqueous 5.00% acetic and CHC2H3O2 SOLUTION(by mass), if the density is 1,01g/ml calculate the mole fraction, molarity and molality.

Find probability that first child of tom and terri will rh- : What is the probability that a child of Tom and Terri who is Rh+ will have elliptocytosis?

Expalin by how much does the potential energy : Expalin by how much does the potential energy of a 18.0-kg child increase when the child climbs a normal staircase to the second floor?

Define binomial distribution with parameters : Binomial distribution with parameters, Suppose only 70% of all drivers in a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. What is the probability that

Radical equations and squaring : In solving an equation involving radicals, it is sometimes necessary to square each side of the equation. But doing this can introduce extraneous roots, which do not satisfy the original equation.

Illustrate what is the maximum speed that the car : If the coefficient of static friction is 0.951, illustrate what is the maximum speed that the car can take without skidding?

Find probability that bar takes a value between a range : Decileter and standard deviation of 41 mg/dl. in an srs of 100 men what is the probability that x bar takes a value between 185 and 191 mg/dl?

How many grams of koh are required : How many grams of KOH are required to neutralized 300ml of 5.0 N HN03 solution.

Calculate the interference value for these data : A wild-type trihybrid soybean plant is crossed to a pure-breeding soybean plant with the recessive phenotypes pale leaf l, oval seed (r), and short height (t). The results of the three-point test cross are shown in the table. Traits not listed are..

User Account

All Pages