Answer:
4. x = 2 + 2sqrt(10/3), 2- 2sqrt(10/3)
5. No real solutions
x = 1 + 3sqrt(2) i, 1 - 3sqrt(2) i,
6. x = 1 + sqrt(2), 1 - sqrt(2)
Step-by-step explanation:
4. 3(x - 2)² = 40
(x - 2)² = 40/3
(x - 2) = +/- sqrt(40/3)
x - 2 = +/- 2sqrt(10/3)
x = 2 +/- 2sqrt(10/3)
5. -2(x - 1)² = 36
(x - 1)² = -18
A perfect square can never be negative for real values of x
(x - 1) = +/- i × sqrt(18)
x - 1 = +/- i × 3sqrt(2)
x = 1 +/- i × 3sqrt(2)
6. 4(x - 1)² = 8
(x - 1)² = 2
x - 1 = +/- sqrt(2)
x = 1 +/- sqrt(2)
