Answer:
He failed to check for extraneous solutions
Step-by-step explanation:
sqrt(x+6) -4 =x
Add 4 to each side
sqrt(x+6) -4+4 =x+4
sqrt(x+6) =x+4
Sqaure each side
(sqrt(x+6))^2 =(x+4)^2
x+6 = x^2 +8x+16
Subtract 6 from each side
x = x^2 +8x +10
Subtract x from each side
0 = x^2 +7x +10
Factor
0 = (x+5) (x+2)
Using the zero product property
x=-5 x=-2
Check the solutions
sqrt(-5+6) -4 =-5
sqrt(1) -4 = -5
1-4 =-5
-3 does not equal -5 not a solution
sqrt(-2+6) -4 =-2
sqrt(4) -4 = -2
2-4 =-2 is a solution
Answer:
32 sq ft.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
C. Directrix and Focus
Step-by-step explanation:
Given choices are :
A. Locus and Directrix
B. Axis and vertex
C. Directrix and Focus or
D. Vertex and Locus
Now we need to find about which of the above choices are the exact same distance from a parabola.
By definition of parabola, vertex lies at equal distance from directrix and focus.
Hence choice C. Directrix and Focus is correct.