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1 year ago

How would I find all real solutions in x^4/3 -10^2/3 +21= 0

Mathematics

1 answer:

Oxana [17]1 year ago

7 0

Answer:

Step-by-step explanation:

This equation looks complicated.We have to make it easier

let's say x^2/3 = t and x^4/3 = t^2

t^2-10t+21=0 [ we can factorize this equation as a (t-3)(t-7) ]

(t-3)(t-7)=0 [ that means , t can be 3 or 7 ]

But don't forget we have to find x not t so,

t=x^2/3=3 ∛ x^2 = 3 x^2 = 9 x=3 or x= -3

t=x^2/3=7 ∛x^2 = 7 x^2 = 343 x ~18.5 or x ~ -18.5

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2 years ago

Y+9÷2=y-3÷4-(y/3) pls help

Ann [662]

Answer:

y = - $\frac{63}{4}$ or - 15.75

Step-by-step explanation:

Order of operations.

y + $\frac{9}{2}$ = y - $\frac{3}{4}$ - $\frac{y}{3}$ Subtract y from each side.

y - y + $\frac{9}{2}$ = y - y - $\frac{3}{4}$ - $\frac{y}{3}$

$\frac{9}{2}$ = - $\frac{3}{4}$ - $\frac{y}{3}$ Add $\frac{3}{4}$ to each side

$\frac{9}{2}$ + $\frac{3}{4}$ = - $\frac{3}{4}$ + $\frac{3}{4}$ - $\frac{y}{3}$

$\frac{9}{2}$ + $\frac{3}{4}$ = - $\frac{y}{3}$ Find the common denominator for $\frac{9}{2}$ and $\frac{3}{4}$ , which is 4

$\frac{9}{2}$ * $\frac{2}{2}$ + $\frac{3}{4}$ = - $\frac{y}{3}$

$\frac{18}{4}$ + $\frac{3}{4}$ = - $\frac{y}{3}$

$\frac{21}{4}$ = - $\frac{y}{3}$ Multiply each side by 3

$\frac{21}{4}$ * 3 = - $\frac{y}{3}$ * 3

$\frac{63}{4}$ = - y Divide each side by -1

y = - $\frac{63}{4}$ = - 15 $\frac{3}{4}$

y = - 15.75

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2 years ago

Read 2 more answers

The volume of a box in the shape of a rectangular prism

MakcuM [25]

Answer: 12

Step-by-step explanation:

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2 years ago

16 cm + B 11 cm 4 cm

yawa3891 [41]

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2 years ago

Express -32/243 into power notation

lesya692 [45]

This problem can take a while if you cannot observer the answer quickly.

First of all we can see that 32=2*2*2*2*2=2^5

243, if you don't know its actually is 3^5

Now we can see that this turns into...

- 2^5/3^5

since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below

(-3)^2=9 Positive

(-3)^3=-27 Negative since its to the odd power it keeps the sign.

This problem can be simplified to.

(-2/3)^5

And this is the answer :D

If you have any questions just put them in the comments.

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2 years ago