What are the solutions to the equation y(y-5)^3-14(y-5)^2=0 ?

The solutions to the equation y(y-5)^3-14(y-5)^2=0 are y=5,y=-2,y=7

Find the zeros of y(y-5)^3-14(y-5)^2=0

The zeros of y(y-5)^3-14(y-5)^2=0 are y=5,y=-2,y=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y (y - 5)^{3} - 14 (y - 5)^{2} = 0

y = 5, y = - 2, y = 7

Solution steps

y (y - 5)^{3} - 14 (y - 5)^{2} = 0

Factor

y (y - 5)^{3} - 14 (y - 5)^{2} : (y - 5)^{2} (y + 2) (y - 7)

(y - 5)^{2} (y + 2) (y - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y - 5 = 0 or y + 2 = 0 or y - 7 = 0

Solve

y - 5 = 0 : y = 5

Solve

y + 2 = 0 : y = - 2

Solve

y - 7 = 0 : y = 7

The solutions are

y = 5, y = - 2, y = 7

b^{3} = 4

- 7 x - (x + 6) = 9 + 2 x^{9} + 2 x

x^{7} - 64 x = 0

x^{5} - x^{2} = 0

x^{3} - 16 x^{2} + 63 x = 0

What are the solutions to the equation y(y-5)^3-14(y-5)^2=0 ?
The solutions to the equation y(y-5)^3-14(y-5)^2=0 are y=5,y=-2,y=7
Find the zeros of y(y-5)^3-14(y-5)^2=0
The zeros of y(y-5)^3-14(y-5)^2=0 are y=5,y=-2,y=7