Answer:
x = 6 and x = 11.
Step-by-step explanation:
sqrt(x - 2) + 8 = x
sqrt(x - 2) = x - 8
(sqrt(x - 2))^2 = (x - 8)^2
x - 2 = x^2 - 16x + 64
x^2 - 16x + 64 = x - 2
x^2 - 17x + 66 = 0
We can use the discriminant to find whether there are solutions to the equation.
b^2 - 4ac; where a = 1, b = -17, and c = 66.
(-17)^2 - 4 * 1 * 66
= 289 - 264
= 25
Since the discriminant is positive, we know there are two valid solutions to the equation.
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
The solutions are when x - 6 = 0 and x - 11 = 0.
x - 6 = 0
x = 6
x - 11 = 0
x = 11
Hope this helps!
Answer -
Step-by-step explanation:
Answer: Translation:
The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?
Step-by-step explanation:
The <u><em>correct answer</em></u> is:
1983 B.C.
Explanation:
To subtract this, we can reverse the order and make the answer negative. The reason for this is that we are taking away more than we have, so we will have a negative answer.
4000-2017 = 1983
In terms of time, though, we don't deal with negatives, we deal with A.D. and B.C. The use of A.D. is for dates after the year 1; B.C. is for anything before this. Since our number is "negative," it will be 1983 B.C.
