Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The sum of the square of a positive number and the square of 2 more than the number is 20. What is the number?

Sagot :

the10legendgamer

Answer:

Let one number = x

Let the other number = x + 2

Use these variables to establish appropriate equations.

x2 + (x + 2)2 = 52

Solve for x from this equation. Expand any terms to get rid of parentheses.

x2 + x2 + 4x + 4 = 52

Combine any like terms.

2x2 + 4x - 48 = 0

WE now have a quadratic equation. Factor out a 2.

2(x2 + 2x - 24) = 0

Factor completely.

2(x + 6)(x - 4) = 0

Set the binomial factors equal to zero.

x + 6 = 0 and x - 4 = 0

Solve for x from these parts. Choose the positive x value.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.