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

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

Answer from: Quest

Ithink your answer is c hope that

Another question on Mathematics

Mathematics, 21.06.2019 18:00

The graph shown is the graph of which function?

Answers: 2

Answer

Mathematics, 21.06.2019 19:40

Neoli is a nurse who works each day from 8: 00 am to 4: 00 pm at the blood collection centre. she takes 45 minutes for her lunch break. on average, it takes neoli 15 minutes to collect each sample and record the patient's details. on average, how many patients can neoli see each day?

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

If the discriminant if a quadratic equation is 4 which statement describes the roots?

Answers: 3

Answer

Mathematics, 21.06.2019 21:30

Scott’s bank account showed a balance of $750 on sunday. during the next five days, he made one deposit of $140 and numerous withdrawals of $180 each. let x represent the number of withdrawals that scott made. write an inequality that can be used to find the maximum number of withdrawals that scott could have made and maintain a balance of at least $100. do not use a dollar sign ($) in your response.

Answers: 1

Answer

You know the right answer?

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

Questions