Algebra B

posted by .

x^2 - 5/2x + 25/16 = -4 + 25/16
= (x-5/4)^2 = -64/16 + 25/16
= (x-5/4)^2 = -39/16

Would someone please explain how we arrived at

(x - 5/4)^2 = -64/16 + 25/16 from

x^2 - 5/2x + 25/16 = -4 + 25/16

Thanks in advance for your help.

  • Algebra B -

    Which side (left or right) is puzzling?

  • Algebra B -

    The left, Thanks

  • Algebra B -

    OK,
    (x-5/4)^2
    = (x-5/4)(x-5/4)
    multiplying (remember FOIL--first, outer, inner, last)

    = x^2 -(5/4)(x) - (5/4)(x) + (5/4)^2
    = x^2 - (10/4)(x) + (5^2)/(4^2)
    = x^2 -(5/2)(x) + (25)/(16)

    Does that help?

  • Algebra B -

    Oh, reverse FOIL!

    Thank you.

  • Algebra B -

    You're welcome, but I am not sure what you mean by reverse FOIL.

    First terms: x and x
    Outer terms: x and -5/4
    Inner terms: -5/4 and x
    Last terms : -5/4 and -5/4

    I just want to be sure you have a good understanding about the order.

  • Algebra B -

    Yes, You explained it very well. Thanks for taking the time.

  • Algebra B -

    You are very welcome.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    The cost, in millions of dollars, to remove x%of pollution in a lake modeled by C= 6000/200-2x. What is the cost to removed 75%of the pollutant?
  2. Algebra

    How would you solve this problem: Slove y=1/4-1 if the domain is(-4,-2,0,2,4) Could someone please explain to me how to do this?
  3. Algebra, explain how to please

    Can someone explain to me how to solve -14=2/5(9-2b) It would be greatly appreciated thank you
  4. Algebra check/help?

    So, for this one, it is 2x-14=3x+6 Can someone please explain to me how they would solve this problem?
  5. Math SOmeone please please help

    Find the derivative of the function. g(u) = (5+u^2)^5(3-9u^2)^8 Could someone please explain the steps that would lead me to the answer?
  6. algebra

    What is a quartic function with only the two real zeroes given?
  7. Algebra 2

    f(x) = x^2 + 2 g(x) = 2x^2 - 1 Find the domain of f+g, f-g, fg, and f/g Can someone please explain to me how you would do this problem?
  8. Algebra 1

    Solve using two different methods. Explain which method you found to be most efficient. A. 3x - 9y = 3 6x - 3y = -24 B. 7x - 3y = 20 5x + 3y = 16 C. y = 1/2x - 6 2x + 6y = 19 I am just stuck and don't know how to do these last few …
  9. Algebra - Rational Exponents

    Can someone explain the rules for raising a power to a power?
  10. Algebra 2

    How does tan^4x-sec^4x equal -2tan^2x-1 If someone could please explain to me then that would be awesome. Thank you ^^

More Similar Questions