caidancek0313
caidancek0313 caidancek0313
  • 20-09-2022
  • Mathematics
contestada

Solve the equation by completing the square.

x2 − 10x + 26 = 8

Fill in the values of a and b to complete the solutions.

Respuesta :

ogorwyne
ogorwyne ogorwyne
  • 22-09-2022

The values of a and b are:

a = 5 + √7

b = 5 - √7

Given data

x2 − 10x + 26 = 8

How to solve by completing x2 − 10x + 26 = 8 the square

Transform the equation to standard quadratic equation by equating to zero

x2 − 10x + 26 = 8

x2 − 10x + 26 - 8 = 0

x2 − 10x + 18 = 0

x2 − 10x + 18 + 5^2 - 5^2 = 0

x2 − 10x + 25 = 25 - 18

(x-5) (x-5) = 7

(x-5)^2 = 7

(x-5) = √7

x = 5 + √7

x = 5 - √7

Read  more on completing the square here: https://brainly.com/question/13981588

#SPJ1

Answer Link

Otras preguntas

which of the following areas is included in the ring of fire a. Alaska b. St. Lawrence river c. interior plains d. Appalachian mountains
In the Anglo-American region the main language is
what is the whole number portion of 5.024 and 418.0972
How did rising population help the Industrial Revolution?
what should you ask yourself when analyzing word choice
Which of the following would prevent Japanese intervention in its neighboring island of the Philippines? a. the Gentlemens Agreement b. the Roosevelt Corollary
there are 5280 feet in a mile it's Aaron 13200 feet and how many miles did you run
simplify - c. 1/2^-6 x 2^8 d. -(-2)^0 x (-2)^3 x (-2)^-4 (divide (-2)^3 e. 5^0/5^-6 x 1/5^-11 (divide (5^2)^4/(5^10)^2 f. (6x^2y^2z^-4)(-2x^3yz^2)^2/(-4x^2y^5z^
endure is the opposite
No puedo ir al cine contigo esta noche porque tengo otro ________. A. compromiso B. lo siento C. sábado D. viernes