Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

write x^2-2x+5 in the form (x+a)^2+b where a and b are integers

Sagot :

regalmocha17

(x - 1)² + 4  

a = -1

b = 4

Work.


Given the equation:

x² - 2x + 5

Rewrite in the form:

(x + a)² + b

This form is obtained by completing the square.

x² - 2x + 5

Halve b and square it.

-2/2 = -1

(-1)² = 1

Add and subtract it from the equation.

It becomes:

x² - 2x + 1 - 1 + 5

Group to make a trinomial and add like terms.

(x² - 2x + 1) + 4
Rewrite the trinomial as a square.

(x - 1)²  

Add the constant.
Final product.

(x - 1)² + 4

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.