Verified answer

Please check this solution carefully because unfortunately some of the previous solutions have a major mistake.

2√x+1 = 8

or, 2√x = 8-1

or, 2√x = 7

or, √x = 7/2

or, x = (7/2)^2

or, x = 49/4

or, x = 12.25 (ans.)

If you have any further questions, do not hesitate to ask me. Good luck!

2√x+1 = 8

√x+1 = 8/2 = 4

x+1 = 16

x =15

or

2√x+1 = 8

2√x = 8 + 1 =9

√x = 9/2

x = 81/4

2√x+1=8

√x+1=8/2

√x+1=4

applying square on bothsides

x+1=16

x=15

15

2 sq.root ( x + 1 ) = 8 .

in first step squaring both sides

[ 2 sq. root ( x + 1 )] ^2 = 8^2

4 ( x + 1 ) = 64

( x + 1 ) = 64 / 4 .dividing both sides by four.

x + 1 = 16

x = 16 - 1

x = 15.

{ 15 } answer.

hope that helps

2√(x + 1) = 8 : original

Divide by 2 to get : √(x + 1) = 4

Square this to get : x + 1 = 16

Subtract to get : x = 15 <<-- the solution set {15}

x = 15

2√(x + 1) = 8

Divide both sides by 2:

√(x + 1) = 4

Square both sides to eliminate the square root on the left side:

√(x + 1)² = 4²

x + 1 = 16

x = 15

or it is 2√x + 1 = 8

2√x = 7

√x = 7/2

√x² = (7/2)²

x = 49/4

I'm assuming that the question is sqrt(x+1) and not just sqrt(x)

If this is the case, the answer is as follows:

Divide both sides by 2, to get rid of the coefficient

sqrt(x+1) = 4

now square both sides to get rid of the sqrt

x+1 = 16

Now foil

So x = 16 - 1

x = 15.

Substitute this into the original equation

2*sqrt(16) = 8

2*4= 8

In the even that it is just sqrt(x) you'll want to subtract 1 from both sides first, then divide by 2, finally square both sides to get your answer.

Hope this helps

Cheers

sparkling up: 5 - 2(x - one million) = 3x - 8 5(-2x + 2) = 3x - 8 5 - 2x + 2 = 3x -8 combine like words: 5 + 2 = 7 7 - 2x = 3x -8 upload -3x to the two area of the equation 7 - 2x - 3x = 3x - 8 - 3x 7 - 5x = -8 upload -7 to the two area of the equation 7 - 5x - 7 = -8 - 7 -5x = -15 Divide the two area by -5 -5x/-5 = -15/-5 x = 3