Question

math problem

Answer 1

1=4srt4+11

Answer 2

._.
Do this in the same way I told you how to do the other thing

Answer 3

And it's not square root, there is 4 beside it this time

Answer 4

its not a suare root?! hat is it

Answer 5

@AZ
i needa do my social studies, I'll be an observer

Answer 6

so it's not a square root

a square root would be something like this \(\Large\sqrt[2]{100} = \pm10\)

we assume that it's a 2 there so we also write it as \(\Large \sqrt{100} = \pm 10\)

Answer 7

1^(2)=[\root(4)(4q)+11]^(2)

Answer 8

it's 4th root which basically means we're trying to find something that multiplies with itself 4 times to give us that number

Answer 9

alright

Answer 10

so you know how if you had

\(\sqrt{x} = 10\)

we would do to the power of 2 on both sides?

if we have something like \(\Large\sqrt[4]{x} = 10\)

then to solve for 'x', we have to do the power of 4 on both sides

Answer 11

its to the poer of 4 for my problem

Answer 12

that's because one of the rules for exponents is

\(\Large a^{\left(\frac{1}{b}\right)} = \sqrt{a}\) and so if you do \(\Large (\sqrt{a}) ^b\) that's the same thing as \(\Large a^{\left(\frac{1}{b}\right) b} = a\)

Answer 13

so first, it says that h(q) = 1

that means we're looking for the 'q' that makes the h(q) = 1

so let's write the equation

\(\Large 1 = \sqrt[4]{4q+11}\)

Answer 14

what do you get if you do to the power of 4 on both sides?

On the right side, it should cancel out that \(\Large\sqrt[4]{~~}\)

and on the left side, you'd have 1^4 = ??

Answer 15

1

Answer 16

good! so now we went from

\(\Large 1 = \sqrt[4]{4q+11}\)

\(\Large 1^4 = \left( \sqrt[4]{4q+11} \right)^4\)

\(1^4 = 4q+11\)

and we finally get

\(1= 4q+11\)

so can you solve for q?

Answer 17

4*-3?

Answer 18

no, first subtract 11 on both sides

what do you get?

Answer 19

1-11 and 11-11?

Answer 20

yes

Answer 21

what is that equal to

Answer 22

-10 and 0

Answer 23

Good! So we had

\(1= 4q+11\)

we subtract 11 on both sides

\( 1 - 11 = 4q+11 - 11\)

and we get

\( -10= 4q\)

now how do you solve for q?

Answer 24

im not sure

Answer 25

so we want to get 'q' all by itself

so we have 4 times q

we need to move the 4 to the other side, right?

4 is being multiplied with q

we need to do the opposite of that to 4 on both sides

what is the opposite of multiplication?

Answer 26

division?

Answer 27

Yes! So we have to divide by 4 on both sides so we can get 'q' all by itself

so divide 4 on both sides, what do you get?

Answer 28

-0.4?

Answer 29

mhmm are you sure?

what is -10 / 4

remember we're dividing 4 on both sides so -10 divided by 4

-10/4 =

Answer 30

-2.5

Answer 31

voila! and all done!

Answer 32

thanks

Answer 33

no problem