hypebeastwarrior
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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 :

rdesmangles

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

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.