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
