What number should be added to both sides of the equation to complete the square?

x² + 8x = 4

4

8

16

32

Question

Mathematics

Stacy Mora

7 December, 16:00

What number should be added to both sides of the equation to complete the square?

x² + 8x = 4

4

8

16

32

+1

Answers (1)

Know the Answer?

Aubree Herring · Answer 1

16

Step-by-step explanation:

Given

x² + 8x = 4

To complete the square

add (half the coefficient of the x - term) ² to both sides

x² + 2 (4) x + 16 = 4 + 16, thus

(x + 4) ² = 20 ← equivalent equation

What number should be added to both sides of the equation to complete the square?x² + 8x = 4481632

What number should be added to both sides of the equation to complete the square?

x² + 8x = 4

4

8

16

32