Question

the question says to solve algebraically and graphically.
x+1-2√(x+4)=0
I did the algebraic part but my answer could not be solved

Answer 1

If you're looking for x:

x+1 = 2sqrt(x+4)

Square both sides

x^2 + 2x + 1 = 4(x+4) ====> x^2 + 2x + 1 = 4x + 16

Move everything to the right

x^2 + 2x - 4x + 1 -16 = 0

X^2 -2x -15 = 0

Find your roots

(x - 5)(x + 3) = 0

So x is either 5 or -3

Answer 2

thank you so much best response so far and detailed

Answer 3

to solve graphically do I make an xy char and plug in numbers

Answer 4

Yup and just see where y =0

Answer 5

thank you

Answer 6

do I plug the numbers into x^2-2x-15