Question

Solve and Show Work)
1. √8x+1=5

2. √x-7+5=11

3. -4√x+9=20

4. √6x+5=√53

5. √x+2+4=x

Answer 1

it's not difficult ! i will hepl you : try to work it is better for you too :

so for the first one, you have V8x+1=5
so V8x=5-1
V8x=4
x=...

Answer 2

Do you need help?

Answer 3

sqrt(8x)+1=5

Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
sqrt(8x)=-1+5

Add 5 to -1 to get 4.
sqrt(8x)=4

To remove the radical on the left-hand side of the equation, square both sides of the equation.
(sqrt(8x))^(2)=(4)^(2)

Simplify the left-hand side of the equation.
8x=(4)^(2)

Expand the exponent (2) to the expression.
8x=(4^(2))

Squaring a number is the same as multiplying the number by itself (4*4). In this case, 4 squared is 16.
8x=(16)

Remove the parentheses around the expression 16.
8x=16

Divide each term in the equation by 8.
(8x)/(8)=(16)/(8)

Simplify the left-hand side of the equation by canceling the common factors.
x=(16)/(8)

Simplify the right-hand side of the equation by simplifying each term.
So x=2

Answer 4

This is for number 2
sqrt(x)-7+5=11

Add 5 to -7 to get -2.
sqrt(x)-2=11

Since -2 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2 to both sides.
sqrt(x)=2+11

Add 11 to 2 to get 13.
sqrt(x)=13

To remove the radical on the left-hand side of the equation, square both sides of the equation.
(sqrt(x))^(2)=(13)^(2)

Simplify the left-hand side of the equation.
x=(13)^(2)

Expand the exponent (2) to the expression.
x=(13^(2))

Squaring a number is the same as multiplying the number by itself (13*13). In this case, 13 squared is 169.
x=(169)

Remove the parentheses around the expression 169.
So, x=169

Answer 5

I can't really tell if you wrote your equations correctly because they don't have parentheses in them.

Answer 6

is the first equatin √8x+1=5 or √(8x+1)=5?

Answer 7

*equation.

Answer 8

They do not have any parentheses in them

Answer 9

You are wrong.

Answer 10

For the first one, it is sqrt (8x+1)=5
second one: sqrt(x-7)+5=11

If you don't put that in your question, you'll get completely different answers.

Answer 11

Oh I was not aware of that.

Answer 12

If the square root extends over those numbers, you either show that by drawing a longer square root, or put the part of the equation in parentheses. Just a future heads up. BTW, then the answers that I gave you are incorrect.

Answer 13

Since the equation that I solved was different than the one in the picture.

Answer 14

Solution 1.
sqrt(8x+1)=5

To remove the radical on the left-hand side of the equation, square both sides of the equation.
(sqrt(8x+1))^(2)=(5)^(2)

Simplify the left-hand side of the equation.
8x+1=(5)^(2)

Expand the exponent (2) to the expression.
8x+1=(5^(2))

Squaring a number is the same as multiplying the number by itself (5*5). In this case, 5 squared is 25.
8x+1=(25)

Remove the parentheses around the expression 25.
8x+1=25

Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
8x=-1+25

Add 25 to -1 to get 24.
8x=24

Divide each term in the equation by 8.
(8x)/(8)=(24)/(8)

Simplify the left-hand side of the equation by canceling the common factors.
x=(24)/(8)

Simplify the right-hand side of the equation by simplifying each term.
So, x=3