What are the solutions to the equation x^3+2x^2=49x+98 ?

The solutions to the equation x^3+2x^2=49x+98 are x=-2,x=-7,x=7

Find the zeros of x^3+2x^2=49x+98

The zeros of x^3+2x^2=49x+98 are x=-2,x=-7,x=7

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x^{3} + 2 x^{2} = 49 x + 98

x = - 2, x = - 7, x = 7

Solution steps

x^{3} + 2 x^{2} = 49 x + 98

Move

98

to the left side

x^{3} + 2 x^{2} - 98 = 49 x

Move

49 x

to the left side

x^{3} + 2 x^{2} - 98 - 49 x = 0

Write in the standard form

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

x^{3} + 2 x^{2} - 49 x - 98 = 0

Factor

x^{3} + 2 x^{2} - 49 x - 98 : (x + 2) (x + 7) (x - 7)

(x + 2) (x + 7) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x + 7 = 0 or x - 7 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x + 7 = 0 : x = - 7

Solve

x - 7 = 0 : x = 7

The solutions are

x = - 2, x = - 7, x = 7

m^{4} - 13 m^{2} - 48 = 0

x^{2} (x - 1) - 4 x^{2} + 8 x - 4 = 0

x^{3} + x = 3

x^{3} + x = 1

(9 x^{2} - 6 x - 2)^{4} = 1

What are the solutions to the equation x^3+2x^2=49x+98 ?
The solutions to the equation x^3+2x^2=49x+98 are x=-2,x=-7,x=7
Find the zeros of x^3+2x^2=49x+98
The zeros of x^3+2x^2=49x+98 are x=-2,x=-7,x=7