Solve the following by completing the square. x^2-14x=-37 A. x= -7+- √37 B. x= -7 +- 2 √3 C. x= 7 +- 2 √3 D. x= 7 +- √37 About the author Aaliyah
Answer: x = 7 + 2√3 Step-by-step explanation: x² – 14x = -37 => x² – 14x + 37 = 0 => x² – 7x – 7x + 49 – 12 = 0 => x(x – 7) – 7(x – 7) – 12 = 0 => (x – 7)(x – 7) – (2√3)² = 0 => (x – 7)² = (2√3)² => x – 7 = 2√3 x = 7 + 2√3 [ Note: If aⁿ = bⁿ , a = b ] Reply
Answer:
x = 7 + 2√3
Step-by-step explanation:
x² – 14x = -37
=> x² – 14x + 37 = 0
=> x² – 7x – 7x + 49 – 12 = 0
=> x(x – 7) – 7(x – 7) – 12 = 0
=> (x – 7)(x – 7) – (2√3)² = 0
=> (x – 7)² = (2√3)²
=> x – 7 = 2√3
x = 7 + 2√3
[ Note: If aⁿ = bⁿ , a = b ]