What are the solutions to the equation y^3+y^2=49y+49 ?

The solutions to the equation y^3+y^2=49y+49 are y=-1,y=-7,y=7

Find the zeros of y^3+y^2=49y+49

The zeros of y^3+y^2=49y+49 are y=-1,y=-7,y=7

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y^{3} + y^{2} = 49 y + 49

y = - 1, y = - 7, y = 7

Solution steps

y^{3} + y^{2} = 49 y + 49

Move

49

to the left side

y^{3} + y^{2} - 49 = 49 y

Move

49 y

to the left side

y^{3} + y^{2} - 49 - 49 y = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

y^{3} + y^{2} - 49 y - 49 = 0

Factor

y^{3} + y^{2} - 49 y - 49 : (y + 1) (y + 7) (y - 7)

(y + 1) (y + 7) (y - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 1 = 0 or y + 7 = 0 or y - 7 = 0

Solve

y + 1 = 0 : y = - 1

Solve

y + 7 = 0 : y = - 7

Solve

y - 7 = 0 : y = 7

The solutions are

y = - 1, y = - 7, y = 7

2 x^{3} = 10 x

2 x^{3} = 128

3 (4 g^{6}) = 2 (6 g^{9})

x^{4} - x^{3} - x^{2} - x - 2 = 0

2 x^{4} - 7 x^{2} = 4

What are the solutions to the equation y^3+y^2=49y+49 ?
The solutions to the equation y^3+y^2=49y+49 are y=-1,y=-7,y=7
Find the zeros of y^3+y^2=49y+49
The zeros of y^3+y^2=49y+49 are y=-1,y=-7,y=7