Homework help, no need to explain 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: no, but if it does it's a obvious pattern.

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl