To make x the subject in the equation 3x² + 4y = 4, we need to isolate the term containing x² and then solve for x. We can do this as follows:
3x² + 4y = 4
Subtract 4y from both sides:
3x² = 4 - 4y
Divide both sides by 3:
x² = (4 - 4y) / 3
Take the square root of both sides, remembering to include both the positive and negative roots:
x = ±sqrt((4 - 4y) / 3))
Therefore, x can be expressed as:
x = sqrt((4 - 4y) / 3)) or x = -sqrt((4 - 4y) / 3))