Mathematics, 26.08.2019 01:20 mimi5937

Find the approximate solution of this system of equations.
y = |x^2 − 3x + 1|
y = x − 1

Answers: 1

Show answers

Answers

Y = |x² - 3x + 1|
y = x - 1

|x² - 3x + 1| = x - 1
|x² - 3x + 1| = ±1(x - 1)
|x² - 3x + 1| = 1(x - 1)   or    |x² - 3x + 1| = -1(x - 1)
|x² - 3x + 1| = 1(x) - 1(1) or |x² - 3x + 1| = -1(x) + 1(1)
|x² - 3x + 1| = x - 1     or         |x² - 3x + 1| = -x + 1
  x² - 3x + 1 = x - 1    or          x² - 3x + 1 = -x + 1
- x - x + x   + x
x² - 4x + 1 = -1       or          x² - 2x + 1 = 1
+ 1 + 1 - 1 - 1
x² - 4x + 1 = 0     or        x² - 2x + 0 = 0
x = -(-4) ± √((-4)² - 4(1)(1)) or x = -(-2) ± √((-2)² - 4(1)(0))
2(1)   2(1)
x = 4 ± √(16 - 4)        or        x = 2 ± √(4 - 0)
2 2
x = 4 ± √(12)    or      x = 2 ± √(4)
2 2
x = 4 ± 2√(3)       or         x = 2 ± 2
2 2
x = 2 ± √(3)     or          x = 1 ± 1
x = 2 + √(3) or x = 2 - √(3) or    x = 1 + 1 or x = 1 - 1
x = 2     or       x = 0
y = x - 1      or           y = x - 1 or y = x - 1 or y = x - 1
y = (2 + √(3)) - 1 or y = (2 - √(3)) - 1       or       y = 2 - 1 or y = 0 - 1
y = 2 - 1 + √(3)   or     y = 2 - 1 - √(3)      or           y = 1    or       y = -1
y = 1 + √(3) or      y = 1 - √(3) (x, y) = (2, 1) or (x, y) = (0, -1)
(x, y) = (2 ± √(3), 1 ± √(3))

The solution (0, -1) can be made by one function (y = x - 1) while the solution (2 ± √(3), 1 ± √(3)) can be made by another function (y = |x² - 3x + 1|). So the solution (2, 1) can be made by both functions, making the two solutions equal.

Answer from: Quest

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude

Answer from: Quest

What does h hours mean

Another question on Mathematics

Mathematics, 21.06.2019 14:30

What is the inverse of the function f(x)=4x+8

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Answers: 2

Answer

Mathematics, 21.06.2019 19:10

Aline that intersects one of two parallel lines intersects the other also always sometimes never

Answers: 3

Answer

Mathematics, 21.06.2019 21:30

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

Answers: 2

Answer

You know the right answer?

Find the approximate solution of this system of equations.
y = |x^2 − 3x + 1|
y = x − 1...

Questions