How do I solve this: 4 *squart root sign* x+1 = 9 ???

Answer 1

4 * sqrt (X+1) = 9
sqrt (x+1) = 9/4
x+1 = (9/4)^2 = 5.0625
x= 5.0625-1
x=4.0625

Answer 2

x=4
4 Times square root of 4 which is 2 + 1 = 9

Answer 3

Hey there!

Here's the answer.

4sqrt(x+1)=9 --> Write the problem.
16(x+1)=81 --> Square both sides of the equation.
x+1=81/16 --> Divide 16 on both sides of the equation.
x=65/16 Subtract 1 on both sides of the equation.

Check to find any extraneous solutions.

4sqrt(65/16+1)=9 -->
4sqrt(81/16)=9 -->
4(9/4)=9 -->
9=9, true

Since the solution satisfies the equation, the answer is x=65/16.

Hope it helps!

Answer 4

Square both sides:

4sqrt(x) + 1 = 9 // -1

4sqrt(x) = 8 // divide by 4

sqrt(x) = 2 // square both sides

x=4

Check:
4 sqrt(4) + 1 = 4*2+1 = 9

Answer 5

First, use the short hand "sqrt" for square root sign.
Next just handle the problem in typical order:
Divide both sides by 4
Square both sides.
Subtract -1 from both sides (assuming x+1) is the sqrt arguement.
Express answer in simplest form .

Answer 6

follow this steps:
*square root sign*x+1=9/4
square booth side which will give you
x+1=(9/4)^2
therefore
x=(81/16)+1

Answer 7

16 * (x+1)=81

Square both sides

QED