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x^2 - 3 = 1

Please help me with this I need a answer and explanation so I can do this on my own asap!


X2 3 1 Please Help Me With This I Need A Answer And Explanation So I Can Do This On My Own Asap class=

Sagot :

Answer:

x=2

x=-2

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^2-3-(1)=0

1.1      Factoring:  x2-4

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check :  x2  is the square of  x1

Factorization is :       (x + 2)  •  (x - 2)

Equation at the end of step

1

:

 (x + 2) • (x - 2)  = 0

STEP

2

:

Theory - Roots of a product

2.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x+2 = 0

Subtract  2  from both sides of the equation :

                     x = -2

Solving a Single Variable Equation:

2.3      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

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