X = 4
Explanation:
sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)
sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15
sqrt(5x + x^2) + 5 + x = 15
sqrt(5x + x^2) = 10 - x
Take square of both sides
5x + x^2 = (10 - x)^2
5x + x^2 = 100 - 20x + x^2
Cancel x^2
5x = 100 - 20x
25x = 100
x = 4
Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong
Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct
Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong
Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct
Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong
