Solve ∜3x-8= -2?

Question

Please be detailed

Answer 1

∜3x-8= -2
If is meant ∜(3x-8) = -2 then there is no solution, because any even root is always positive.
If is meant (∜3x) - 8 = -2 then
∜3x = 6
3x = 6^4 = 1296
x = 432
Th

Answer 2

2

Answer 3

this is the simplest kind of algebra

if you can't work this, you probably need to get somebody to explain the very basics, but here goes

there are several ways to solve this that might help you understand the algebra

first, just look at it, you know that if you subtract 8 from the 3x term, the answer is -2, that means that the 3x term has to equal 6

6-8=-2, that means that the x has to equal 2 , 3*2=6

algebraicly, since you start with an equation, the everything on the left side of the equal sign, has the same value as whats on the right side

if you do the same math operation to each side, they change, but they are still equal to each other, this is the basis for alebra equation manipulation

so, 3x-8=-2, we want to get the "x" by itself, that is what we're solving

add 8 to both sides

3x-8+8=-2+8
3x=6

we have a new equation that still works, because we changed both sides of the equation the same amount, they are still equal

just looking again you can see that x has to be equal to 2 but algebraicly, we get the x by itself by dividing both sides by 3

3x/3=6/3
x=2

and, voila

good luck
keep at it
math is cool

Answer 4

If your question means
∜(3x)-8 = -2
=> ∜(3x) = 8 -2 = 6
=> 3x = 6^4 = 1296
=> x = 1296/3 = 432

If your question means
∜(3x-8)= -2
=>(3x-8) = (-2)^4 = 16
=> 3x = 8 +16 = 24
=> x = 24/3 = 8

Answer 5

Apparently nobody else can see the 4th root part. So I'll give it a go.

I'm going to assume you mean to have the entire expression (3x-8) under the radical.

Taking both sides to the fourth power gives us:

3x - 8 = (-2)^4, or
3x - 8 = 16

Adding 8 to both sides,
3x = 16 + 8, or
3x = 24

Dividing both sides by 3 gives
x = 24/3, or
x = 8

Now, if you only wanted the 3x under the radical, then it comes out differently: we start by adding 8 to both sides.

∜3x = 8 - 2
∜3x = 6

Now take both sides to the fourth power:
3x = 6^4
3x = 1296

Finally, divide both sides by 3:
x = 1296 / 3
x = 432

One of those should match what you had in mind. Hope that helps!

Answer 6

Jay H seems to be the only one who noticed there's a fourth root in there. But he assumed the entire left side of the equation is under the radical sign, like this: fourth root(3x - 8), or (3x - 8)^(1/4).

It appears to me that the radical sign only applies to the 3, like this:

3^(1/4) x - 8 = -2 (that's the fourth root of 3)

Then 3^(1/4) x = 6 (adding 8 to both sides)

Raise both sides to the fourth power:

3 x^4 = 6^4 = 6 (6^3) = 6 (216)

Divide by 3: x^4 = 2(216) = 432 = 3 (144)

To get the fourth root, we can take the square root twice:

x^2 = 12 sqrt(3) (can't be negative) = 4 (3) sqrt(3) = 4 sqrt(27)

x = 2 (27^(1/4)) (2 times the fourth root of 27)

Since 27 = 3^3, another way to write this answer is

x = 2 (3^(3/4)) = 2 (3^0.75)

Check: 3^(1/4) x = 3^(1/4) (2) (3^(3/4)) = 3 (2) = 6

and 6 - 8 = -2

The answer checks.

Answer 7

Solve this way:

3X - 8 = -2
+8 +8
3x = 6
3x/3 = 6/3
x= 2

Answer 8

add 8 on both sides
3x = 8-2 = 6
divide both sides by 3
x =2

Answer 9

just 3x-8= -2 ?

well, first you have to move the -8 to the other side because your goal is to find x. so you have to isloate the variable. so add 8 to both sides to cancel out the -8 on the left.

now it's

3x= -2+8
simplify that.
-2+8= 6

so

3x=6.

now what you can to to get rid of the 3 is divide each side by 3.
so now it's

x=2
and thats your answer

Answer 10

That's an easy one. :)

3x - 8 = -2 <=>
3x = 8 - 2 <=>
3x = 6 <=>
x = 6/3 <=>
x = 2

Any time. ;)

Answer 11

The KEY to solving algebra problems is to get the unknown variable, X all by itself on one side of the equal sign by undoing everything currently being done to it.

With 3x-8= -2, you're:

1) Subtracting 8, so we'd undo it by adding 8 to both sides, giving us 3X = 6.

2) Multiplying X by 3, so we'd undo it by dividing both sides by 3, which would gives us X = 2.