Question

(18x² – 3x²+x-1) ÷ (x² – 4)​

Answer 1

Answer:

x = sqrt(61)/30 - 1/30 or x = -1/30 - sqrt(61)/30

Step-by-step explanation:

Solve for x:

(15 x^2 + x - 1)/(x^2 - 4) = 0

Multiply both sides by x^2 - 4:

15 x^2 + x - 1 = 0

Divide both sides by 15:

x^2 + x/15 - 1/15 = 0

Add 1/15 to both sides:

x^2 + x/15 = 1/15

Add 1/900 to both sides:

x^2 + x/15 + 1/900 = 61/900

Write the left hand side as a square:

(x + 1/30)^2 = 61/900

Take the square root of both sides:

x + 1/30 = sqrt(61)/30 or x + 1/30 = -sqrt(61)/30

Subtract 1/30 from both sides:

x = sqrt(61)/30 - 1/30 or x + 1/30 = -sqrt(61)/30

Subtract 1/30 from both sides:

Answer: x = sqrt(61)/30 - 1/30 or x = -1/30 - sqrt(61)/30