Question

Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?

Answer 1

The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.

What is transformation?

This is process of converting one expression to the other by performing some mathematical operations.

How to transform x² + 10x + 24 = 0 into the form (x − p)² = q

x² + 10x + 24 = 0

We add 1 to both sides.So,

Step 1: x² + 10x + 24 + 1 = 0 + 1

Thus, we have

Step 2: x² + 10x + 25 = 1

Since the left-hand-side x² + 10x + 25 = (x + 5)²

So, we have

x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

Learn more about transformation here:

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