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Solve the equation by completing the square x^2-18x+58=0. is it

A. x= -9+-√23
B. x= -9+-√139
C. x= 9+-√139
D. x= 9+-√23

User Aliza
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2 Answers

3 votes

Answer:

x = 9 ±√23

Explanation:

User Nick Eagle
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To complete the square we add a constant (23) so that the constant on the left is (18/2)² = 81.
x² -18x +58 +23 = 23
(x -9)² = 23 . . . . . . . . . . . rewrite the left side as a square
x -9 = ±√23 . . . . . . . . . . . take the square root
x = 9 ±√23 . . . . . . . . . . . .add 9

The answer corresponds to selection ...
D. x = 9 ±√23
User Marius Schulz
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5.9k points