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Can someone please help with this?

Can someone please help with this?-example-1
User Morphed
by
8.6k points

2 Answers

6 votes

Answer:

Answer for x = 5

Explanation:

√5x +11 - 1 = x We isolate

-√5x+11 = -x-1 We tidy up

√5x+11 = x+1 We raise both sides to second power

(√5x+11)2 = (x+1)2 After brackets we show after squaring

5x+11 = x2+2x+1 We rearrange the order

x2 - 3x -10 = 0 We count the roots = 2

{x1, x2}={5, -2} We show the roots and show original equation, where the root is isolated, after tidy up

√5x+11 = x+1 Plug in 5 for x as x =5

√5•(5)+11 = (5)+1 Then simplify

√36 = 6 Solution checks !!

Solution is:

x = 5

Original equation, root isolated, after tidy up

√5x+11 = x+1 Plug in -2 for x

√5•(-2)+11 = (-2)+1 Simplify

√1 = -1 Solution does not check

1 ≠ -1

Answer for x = 5

User Mescarra
by
9.0k points
5 votes

Answer:

x= -2, x = 5

Explanation:


√(5x+11)-1=x


√(5x+11)=x+1


5x+11=(x+1)^2


5x+11=x^2 + 2x + 1


0=x^2 + 2x + 1-5x-11


0=x^2 -3x-10


0=(x+2)(x-5)

x= -2, x = 5

User WYS
by
8.3k points

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