Answer:
x = 11.61 to the nearest hundredth.
Step-by-step explanation:
√(2x - 2) = x - 7
Square both sides:
2x - 2 = (x - 7)^2
2x - 2 = x^2 - 14x + 49
x^2 - 16x + 51 = 0
using the quadratic formula we get x = 4.39 , 11.61.
With radical equations we can get extraneous roots so we check these values:
X = 4.39 :
√(2(4.39) - 2) = 2.61
4.39 - 7 = -2.61 so 4.39 is NOT a root.
x = 11.61
√(2(11.61) - 2) = 4.61
11.61 - 7 = 4.61 so this is a root.
