Sorry, you answered incorrectly. The correct answer was C. To solve this problem, follow the steps given below.
1. X²/2 + 4X/15 = -1/30
2. You need to get a common denominator. A common denominator between 2, 15, and 30 is 30. So you need to multiply the top and the bottom of each fraction by the same number to make the bottom 30.
X²/2 × 15/15 will make 15X²/30
4X/15 × 2/2 will make 8X/30
And -1/30 is already in its form.
So your new equation looks like this- 15X²/30 + 8X/30 = -1/30
3. Next you need to remove the denominators, and set your equation equal to 0, leaving you with your typical quadratic equation form (AX²+BX+C=0)
This leaves you with 15X²+8X+1=0
4. Factor your equation.
15X²+5X+3X+1=0
5X(3X+1) +1(3X+1)
5. Then set your two polynomials equal to 0
5X+1=0 X=-1/5
3X+1=0 X=-1/3
6. Check your answers.
So the correct answer is {X=-1/5;-1/3}