Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.) (x - 1)2 = 4

Question

14-09-2016
Mathematics

contestada

Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.) (x - 1)2 = 4

Respuesta :

Otras preguntas

Help Me Plss :,) I WILL MARK BRAINLIEST: Which of the following points could be raised when presenting arguments against the big bang theory? A. It is just a

Aerobic Kickboxing involves physical contact between two people. True False

HELP PLEASE ASAP!! Which of the following expenses would most likely be reduced during hard times in both a household budget and a national budget? fixed expen

How can you get your resume thrown out or not considered? making spelling errors providing all the necessary information, plus a few extra details writing with

how do the atoms that make up matter affect its characteristics and behaviour?

what is the mean,median and mode and range of 0,0,3,3,4,5,5,7,7,7,7,7,10

In what three ways did the Industrial Revolution spur New Imperialism?

this was the catalyst for Poland's transition to democray a) trade agreements b) labor unrest c) apartheid d) national security

who won the 1720 world cup?

By mixing together ______________ you would achieve a neutral color.

JcAlmighty JcAlmighty · Answer 1 · 2016-09-18T10:15:08+02:00

The answer is a.)(x - 4)2 = 3.

(x - a)² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0

Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3

kidstluffer kidstluffer · Answer 2 · 2021-09-29T16:43:52+02:00

kidstluffer kidstluffer

29-09-2021

Answer:

a=4 and b=3

Step-by-step explanation:

Just took the test, and got it correct

Answer Link