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What number must be added to complete the square? x²-20x =17

What number must be added to complete the square? x²-20x =17
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5 votes
What number must be added to complete the square?

x²-20x =17

asked
User TeAmEr
by
8.6k points

1 Answer

4 votes
Halve the linear coefficient, then square it.

(-20/2)^2

(-10)^2

100

So you would add 100 to both sides to complete the square

x^2-20x+100=117 now the left side is a perfect square

(x-10)^2=117
answered
User Dirk Bergstrom
by
8.7k points
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