komaswifter
komaswifter komaswifter
  • 22-11-2021
  • Mathematics
contestada

Use the discriminant formula to find the number of x-intercepts in the graph of the equation.

x2 – 3x + 2 =y

b2 - 4ac

​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-11-2021

Answer:

  2

Step-by-step explanation:

The values of a, b, c are ...

  a = 1, b = -3, c = 2

Then the discriminant is ...

  d = b^2 -4ac

  d = (-3)^2 -4(1)(2) = 9 -8 = 1

The discriminant is positive, so there are two x-intercepts.

_____

Additional comment

The indications given by the discriminant are ...

  d > 0, 2 real roots (2 x-intercepts)

  d = 0, 1 real root (1 x-intercept)

  d < 0, 2 complex roots (0 x-intercepts)

Answer Link

Otras preguntas

The sum of 2a and 3b
In the standard (x,y) coordinate plane, a line segment has its endpoints at (3,6) and (9,4). What are the coordinates of the midpoint of the line segment?
Two integers, A and B, have a product of -35. What is the largest possible sum of A and B? Explain how you found your answer.
The electric company charges 3 cents per kilowatt-hour. George used 2800 kilowatt-hours in april, 3200 kilowatt-hours in may and 3600 kilowatt-hours in June. W
How do you solve the equation... X-4y=22 2x+5y=-21 using substitution?? Someone PLEASEE help!!
What percentage of the total mass of KHCO₃ is made up by nonmetallic elements?  a. 17%  b. 83%  c. 61%  d. 20%  e. 50%
x=square root of 880-8x
determine the part of speech in the sentence: at what time did you stop by?
Round 76.5 to the nearest whole number
The sum of 2a and 3b