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4 years ago

A number to the fourth power decreased by 600 is 25

Mathematics

2 answers:

skad [1K]4 years ago

6 0

Answer:

The number is 5 or -5.

Step-by-step explanation:

A number: x

A number to the fourth power: x^4

A number to the fourth power decreased by 600: x^4 - 600

A number to the fourth power decreased by 600 is 25: x^4 - 600 = 25

x^4 - 600 = 25

Subtract 25 from both sides.

x^4 - 625 = 0

Factor as difference of two squares.

(x^2 - 25)(x ^2 + 25) = 0

Factor the left factor as difference of two squares.

(x - 5)(x + 5)(x^2 + 25) = 0

x - 5 = 0 or x + 5 = 0 or x^2 + 25 = 0

x^2 + 25 does not have real solutions.

x = 5 or x = -5

muminat4 years ago

4 0

Answer:

x=5

Step-by-step explanation:

A number to the fourth power decreased by 600 is 25

x^4-600=25

Step 1- Add To Both Sides

x^4-600=25

+600+600

A number to the fourth power decreased by 600 is 25

Step 2- Find square root

x^4=625

x=5

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Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

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Therefore the number of apples shared by Pru, Piper, Phoebe are $\frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x$ respectively.

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$\frac{4}{12}x=\frac{4}{12}\times 144=48$

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