Question

A number to the fourth power decreased by 600 is 25

Answer 1

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

Answer 2

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