IDNLearn.com: Your trusted platform for finding reliable answers. Join our community to access reliable and comprehensive responses to your questions from experienced professionals.

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer. square root of the quantity x minus 2 end quantity plus 8 equals x

Sagot :

Answer:

x = 11.

Step-by-step explanation:

√(x - 2) + 8 = x

√(x - 2) = x - 8

Square both sides:

x - 2 = x^2 - 16x + 64

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

x = 6, 11.

Test for an extraneous solution:

x = 6:

Left side = √(6-2) + 8 = 10

Right side = 6

x = 11:

Left side = √9 + 8 = 11

Right side =  11

So x = 6 is extraneous.