Learn Online Factoring Radicals

Introduction  to learn online factoring radicals:

The factorization is the  process of factoring the given polynomial equation . basically  factorization  is used to find the common factors  of polynomial equation .. we factorize the radicals  equation  .

These are the steps to  solve  factoring radical

Step 1: to remove the  radical symbol for the given equation

Step 2: factorize   the equation

Step 3:  Solve the equation


learn online factoring radicals problem explanation:


we learn how to solve radical problem:

Solve for x if √2x+3=x  Squaring both sides of the equation gives us  2x+3= x2

Setting terms equal to zero gives  0x2-2x-3

The expression factors  0=(x-3)(x+1)  Setting each factor equal to 0 gives two possible answers: x = 3 or x = – 1.

We check each answer in the original equation:  If x = 3 we have

√2(3)+3=3

√9=3

If x = – 1 we have  √2(-1)+3=-1

is impossible since the square root cannot be negative.

Therefore the only answer is x = 3.

Is this topic Factoring Using the Distributive Property hard for you? Watch out for my coming posts.

Examples for learn online factoring radicals


some problems explain for  online  factoring radicals:

1. To solve radical problem for online learning  √x2-2=9 ?

Solution :

1. To solve √x2-2=9 we first square both sides of the equation. The result is x - 2 = 81. This equation is simple to solve. We have x = 83

2. A more complicated situation is√x+2=x In this case we still begin by squaring both sides of the equation. The result is x+2=X2

To finish solving this needs us to set all terms equal to zero and either factor or use the quadratic formula. We get x2-x-2=0

This factors (x-2)(x-1)=0  and the solutions are x = 2 or x = - 1.

We must check each of these solution in the original equation to see if the value of x gives a solution x = 2 gives

√2+2=2   or √4=2 is correct

x = - 1 gives √-1+2=-1  and √1= -1 is impossible

2.   Solve for x if√x+2=√2-x

Solution :

We square both sides. This gives x + 2 = 2 – x.

Solving for x gives 2x = 0. The only solution is x = 0.

Checking this in the original equation gives√0+2=√2-0  or √2=√2

Therefore the solution is x = 0.