Question

Algebra 2
√(x+14) = x+8 (find x )

(the square root of x plus 14 is equal to x plus 8)

Answer 1

Square both sides to eliminate the square root

x+14=(x+8)^2

Answer 2

k

Answer 3

Now expand the right side

Answer 4

what does that mean??? can you show me by drawing??

Answer 5

(x+8)^2 is (x+8)(x+8) can you foil that?

Answer 6

yes.... x^2 + 16x + 64

Answer 7

Right so now we have

x+14=x^2+16x+64

move the x and 14 to the right side

Answer 8

so.... x^2 + 15x + 50

Answer 9

Yes, can you factor that?

Answer 10

( x + 5)(x + 10)

Answer 11

So x=? and x=?

Answer 12

x = -5 x = - 10

Answer 13

You'll need to check solutions since theres a square root involved

Answer 14

So plug each one of those in for x, do they both work?

Answer 15

no