Solve for x:
5 - sqrt(x) + sqrt(3 x - 11) = 6
Subtract 5 from both sides:
sqrt(3 x - 11) - sqrt(x) = 1
(sqrt(3 x - 11) - sqrt(x))^2 = -11 + 4 x - 2 sqrt(x) sqrt(3 x - 11) = -11 + 4 x - 2 sqrt(x (3 x - 11)) = 1:
-11 + 4 x - 2 sqrt(x (3 x - 11)) = 1
Subtract 4 x - 11 from both sides:
-2 sqrt(x (3 x - 11)) = 12 - 4 x
Raise both sides to the power of two:
4 x (3 x - 11) = (12 - 4 x)^2
Expand out terms of the left hand side:
12 x^2 - 44 x = (12 - 4 x)^2
Expand out terms of the right hand side:
12 x^2 - 44 x = 16 x^2 - 96 x + 144
Subtract 16 x^2 - 96 x + 144 from both sides:
-4 x^2 + 52 x - 144 = 0
The left hand side factors into a product with three terms:
-4 (x - 9) (x - 4) = 0
Divide both sides by -4:
(x - 9) (x - 4) = 0
Split into two equations:
x - 9 = 0 or x - 4 = 0
Add 9 to both sides:
x = 9 or x - 4 = 0
Add 4 to both sides:
x = 9 or x = 4
5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(4) + sqrt(3×4 - 11) = 4:
So this solution is incorrect
5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(9) + sqrt(3×9 - 11) = 6:
So this solution is correct
The solution is:
Answer: x = 9
Answer:
180o 2 + 3 = 180o If the above statements are ... Theorem to Find Distance Geometry Geometry DIRECTIONS: Choose or write the correct answer . ... -8 12 units C√12 units D√74 units 13 units -2 -3 -4 A6 units -5-6 B -7 -8 -9 4.
Step-by-step explanation:
Hello there.
Question: <span>Mr. Nicolas is putting up strings of blue and white lights for the holidays. The ratio of blue to white lights is 5 to 6. If he has 77 strings, how many strings are white lights?
Answer: 5:6
Add the numbers:
5 + 6 = 11
Divide this number by the total:
77/11 = 7
Multiply values by this number:
5 x 7 = 35
6 x 7 = 42
To check:
35 + 42 = 77.
Therefore your answer is 42.
</span>Hope This Helps You!
Good Luck Studying ^-^
