Ask Question
18 March, 23:24

What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?

+2
Answers (1)
  1. 18 March, 23:51
    0
    k = 25

    Step-by-step explanation:

    (2x - sqrt (k)) ^2 Expand this as a binomial

    4x^2 - 4x*sqrt (k) + k The middle term must be - 20x Solve for k so it is

    -4xsqrt (k) = - 20x Divide by - 4x

    sqrt (k) = - 20x/-4x Do the division

    sqrt (k) = 5 Square both sides

    k = 25
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers