Respuesta :
Answer:
Step-by-step explanation:
x²+24x+60=0
x²+24x+(24/2)²=-60+(24/2)²
(x+12)²=-60+144
(x+12)²=84
Completing the square method is a method of making an algebraic equation a perfect square.
The equation x²+ 24x + 60 = 0 in the form (x+p)²= q is (x + 12)² = 84.
- We solve this question using completing the square method.
The formula is given as:
x² + bx = c
x² + bx + (b/2)² = c + (b/2)²
- Applying the above formula
x²+ 24x + 60 = 0
x²+ 24x + (24/2)²= -60 + (24/2)²
(x + 12)² = -60 + 144
(x + 12)² = 84
p = 12, q = 84
Therefore, the equation x²+ 24x + 60 = 0 in the form (x+p)²= q is (x + 12)² = 84.
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https://brainly.com/question/23860126
