Answer:
x = 2/3 or x = -2/3
Step-by-step explanation:
Solve for x:
9 x^2 - 4 = 0
x = (0 ± sqrt(0^2 - 4×9 (-4)))/(2×9) = ( ± sqrt(144))/18:
x = sqrt(144)/18 or x = (-sqrt(144))/18
sqrt(144) = sqrt(16×9) = sqrt(2^4×3^2) = 4×3 = 12:
x = 12/18 or x = (-12)/18
12/18 = 2/3:
x = 2/3 or x = (-12)/18
(-12)/18 = -2/3:
Answer: x = 2/3 or x = -2/3