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.
<h3>What is transformation?</h3>
This is process of converting one expression to the other by performing some mathematical operations.
<h3>How to transform x² + 10x + 24 = 0 into the form (x − p)² = q </h3>
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:
brainly.com/question/27224339
