Question

solve the equation sqrt(10-x) + x = 8

Answer 1

Write this as

sqrt(10-x) = 8 -x

and square both sides

Answer 2

Solve: \[\sqrt{10-x} + x = 8\]

Answer 3

(\[(\sqrt{10-x} - x = 8 )^{2}\]
(\[(\sqrt{10-x}) = (8-x)^2
10 - x = 64 - 16x +x^2
10-x = x^2 - 16x +64
10-x=(x-8)^2

Answer 4

thats what i got so far! but i got stuck

Answer 5

Now multiply out the (x-8)^2 and then collect terms to form a quadratic equation

Answer 6

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

Answer 7

x=6

Answer 8

x = 6 is one root, yes. Is there another?

Answer 9

oh no that was it. thanks !