Solve for x, given the equation square root of x plus 9 − 4 = 1.

Answers

\sqrt{x-5+7} = 11\\x-5+7 = 11^2\\x-5+7 = 121\\x + 2 = 121\\x = 119

Check the

\sqrt{119-5+7} \\\sqrt{114+7} \\\sqrt{121} \\11

This answer is correct,

x = 119

 x=-4

Step-by-step explanation:

x +9 -4 = 1    first combine like terms on the the left side to get

x + 5 = 1   now subtract  5 from both sides  

     -5  -5

x= -4  

 The required solution is x = 21.

Step-by-step explanation:  We are given to solve the following equation for x :

"Square root of x minus 5 + 7 = 11."

The given equation can be written and solved as follows :

\sqrt{x-5}+7=11\\\\\Rightarrow \sqrt{x-5}=11-7\\\\\Rightarrow \sqrt{x-5}=4\\\\\Rightarrow x-5=4^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow x-5=16\\\\\Rightarrow x=16+5\\\\\Rightarrow x=21.

Thus, the required solution is x = 21.

\sqrt{x+9}-4=1 \\  \sqrt{x+9}=5

x + 9 = 25
x = 25 - 9
x = 16
x + 9 ≥ 0
x ≥ - 9
 
A ) x = 16, solution is not extraneous.
(√x+9)-4=1
√x+9=5
√x=-4
x=16
√x + 9 - 4 = 1.
√x + 5 = 1
Subtract five from both sides of the equation: √x = -4 
x = -16.
Check: -√16 + 9 - 4 = 1
1 = 1
√x + 9 - 4 = 1.
√x + 5 = 1
Subtract five from both sides of the equation: √x = -4 
x = -16.
Check: -√16 + 9 - 4 = 1
1 = 1
√x + 9 - 4 = 1
     √x + 5 = 1
           √x = -4
           √x = √-4
             x = 2i
√x + 9 - 4 = 1
     √x + 5 = 1
           √x = -4
           √x = √-4
             x = 2i


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