toajubilee toajubilee
  • 24-02-2022
  • Mathematics
contestada

To complete the square for x² + 10x = 4, add ___ to both sides.
pls add an explanation.

Respuesta :

semsee45
semsee45 semsee45
  • 24-02-2022

Answer:

Add 25 to both sides

Step-by-step explanation:

to complete the square for x² + 10x = 4

Add the number that is the square of half the coefficient of x.

Coefficient of x = 10  ⇒  half of 10 = 5

5² = 25

Add 25 to both sides:

⇒ x² + 10x + 25 = 4 +25

Factor left side:

⇒ (x + 5)² = 29

Additional information

to solve (x + 5)² = 29

Square root both sides:

⇒ x + 5 = ±√29

Subtract 5 from both sides

⇒ x = -5 ± √29

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