Question

Solve for x: -2/3x^2 - 1 = 17.

A) x = 5
B) x = -5
C) x = 3
D) x = -3

Answer 1

To solve the equation -2/3x^2 - 1 = 17, we can add 1 to both sides, then multiply by -3/2, and take the square root. However, since the square root of a negative number is not a real number, there are no solutions to this equation.

Step-by-step explanation:

To solve for x in the equation -2/3x^2 - 1 = 17, we can start by adding 1 to both sides of the equation to isolate the quadratic term:

-2/3x^2 = 18

Next, we can multiply both sides of the equation by -3/2 to get rid of the coefficient:

x^2 = -27

Finally, we can take the square root of both sides to solve for x:

x = ±√(-27)

Since the square root of a negative number is not a real number, there are no solutions to this equation.