math

posted by .

Solve 3x^2-8x+4=0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

A)2;between 0 and 1
B)between 0 and 1;between 7 and 8
C)1,2
D)between 0 and 1;between 3 and 4

I don't understand this one either its gotta be A or C I don't undertand what I got from a website which gave me X1=2 and X2=.6 repeating

  • math -

    let y = 3x^2-8x+4 or f(x) = 3x^2-8x+4 , same thing

    try a few x's
    I tried -1,0,1,2,3 and y values of
    15,4,-1,0,7

    notice when x = 0 the graph is above the x-axis, but when x=1 the graph is below the x-axis.
    So there has to be a solution between x=0 and x=1
    Also notice when x=2 , y =0, so x=2 is a solution.

    Solutions to equations are where the matching graph cuts the x-axis.

    Now that we know that we have an exact solution at x=2, x-2 must be an exact factror, and sure enough

    3x^2-8x+4 = (x-2)(3x-2)

    so x=2 or x=2/3

  • math -

    So C would be the choice?

  • math -

    NOOO, it is A

    Did you not read when I said:

    "notice when x = 0 the graph is above the x-axis, but when x=1 the graph is below the x-axis.
    So there has to be a solution between x=0 and x=1
    Also notice when x=2 , y =0, so x=2 is a solution. "

  • math(typo) -

    Oh yeah duh. my mistake

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 2(graphing)

    Solve 2x^2=3x+2 by graphing. If exact roots can't be found, state the consecutive integers between which the roots are located. Can you show how to do this step by step?
  2. Algebra

    Solve 3x^2-8x+4=0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. A)2;between 0 and 1 B)between 0 and 1;between 7 and 8 C)1,2 D)between 0 and 1;between 3 and 4 I don't …
  3. Algebra II

    Solve 2x^2=3x+2 by graphing. If excat roots cannot be found, state the consecutive integers between which the roots are located. I don't have an answer but I made a table and plugged in these values for x respectfully: -1/4, -2/4, …
  4. Algebra II

    Simplify: (y^2+y-20)/(y^2-2y-8) Answer: y+5/y+2 2)Simplify: (1+i)/(2-i) Answer: 1/5+3/5 i 3) Solve 3x^2-8x+4=0 by graphing. If exact roots cannot be found, state the consecutive integers between which the exact roots are located. Answer: …
  5. Algebra 2

    Solve -x^2=4x by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
  6. Chem

    Give the number of unpaired electrons present in a ground-state atom of Tl. I got 5, which isn't right. ndicate which species in each pair has the higher ionization energy. Choose at least one answer. a. Between K and I, I b. Between …
  7. Chem

    ndicate which species in each pair has the higher ionization energy. Choose at least one answer. a. Between K and I, I b. Between K and I, K c. Between Al and Al+, Al d. Between Al and Al+, Al+ e. Between Ar and Cl-, Ar f. Between …
  8. math

    The decimal 4.25 is between which two integers?
  9. Square Roots

    Between what two consecutive integers does the square root of 124 lie?
  10. MATH

    The decimal 4.25 is between which two integers?

More Similar Questions