Solve the equation below. Indicate which solutions, if any, are extraneous.
√ x+5 = x+3

9514 1404 393

  x = -1

Step-by-step explanation:

A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.

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Squaring both sides gives ...

  x +5 = (x +3)² = x² +6x +9

Putting this in standard form, we have ...

  x² +5x +4 = 0

  (x +1)(x +4) = 0 . . . . . factor

  x = -1 or -4 . . . . . . . . values of x that make the factors zero

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Since we require the root to be non-negative, we must have ...

  x +3 ≥ 0

  x ≥ -3

The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.

answer: idk

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.