Find expert advice and community support for all your questions on IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

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.