Question

What number should be added to both sides of the equation to complete the square? x2 + 8x = 4 4 8 16 32

Answer 1

Given:  equation x² + 8x = 4

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

Solution:

• As we have given that x² + 8x = 4,  so let the number which should be added be p.

• We have: x² + 8x + p = 4 + p

• Now lets find the discriminant.
• Formula of D = b² - 4ac ≥ 0

            8² - 4(1)(p) ≥ 0

            64 - 4p ≥ 0

            64 ≥ 4p

            16 ≥ p

• Now lets put p = 16, we get:

            x² + 8x + 16 = 4 + 16

            (x+4)² = 20

Answer:

            So, we should add 16 on both sides in order to make it a complete square.

Answer 2

Answer:

The answer is 16

Step-by-step explanation:

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