Completing The Square

Question 1

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Revolt · Accepted Answer

Disagree. Dividing both sides by 5 gives x² = 4. By the square root property, x = 2 or x = -2. Therefore, x could also be -2.

Question 2

Given (x – 1)2 = 50, select the values of x.

Question 3

The solution to 3x2 – 12x + 24 = 0 is 7 or –7✔ 2 + 2i or 2 – 2i12 or –2.

Revolt · Accepted Answer

✔ 2 + 2i or 2 – 2i

Completing The Square Answers