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Svet_ta [14]
2 years ago
11

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

Mathematics
1 answer:
Arisa [49]2 years ago
5 0

Answer:

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


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