Answer:
x = -4 or 2
Step-by-step explanation:
We are told that S is the midpoint of RT.
Thus; RS = ST.
Now we are told that RS = x² and ST = 8 - 2x
Thus;
x² = 8 - 2x
x² + 2x - 8 = 0
Using quadratic formula;
x = [-2 ± √(2² - 4(1 × - 8))]/(2 × 1)
x = (-2 ± √36)/2
x = (-2 ± 6)/2
x = -4 or 2
