Question

Solve for x in the equation... 2x squared + 3x - 7 = x squared + 5x + 39

Answer 1

Answer:

D) x = 1 ± √(47)

Step-by-step explanation:

2x² + 3x - 7 = x² + 5x + 39

move all terms to one side:

x² - 2x - 46 = 0

complete the square:

x² - 2x + 1 - 1 - 46 = 0

(x - 1)² - 47 = 0

add 47 to both sides:

(x - 1)² = 47

square root both sides:

x - 1 = ±√(47)

add 1 to both sides:

x = 1 ± √(47)

Answer 2

Answer:

x = 1 ± √(47)

Step-by-step explanation:

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