What are the solutions to the equation 2x^3+14x^2-14x-98=0 ?

The solutions to the equation 2x^3+14x^2-14x-98=0 are x=-7,x=-sqrt(7),x=sqrt(7)

Find the zeros of 2x^3+14x^2-14x-98=0

The zeros of 2x^3+14x^2-14x-98=0 are x=-7,x=-sqrt(7),x=sqrt(7)

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2 x^{3} + 14 x^{2} - 14 x - 98 = 0

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

Decimal Notation

x = - 7, x = - 2.64575 \dots, x = 2.64575 \dots

Solution steps

2 x^{3} + 14 x^{2} - 14 x - 98 = 0

Factor

2 x^{3} + 14 x^{2} - 14 x - 98 : 2 (x + 7) (x + 7) (x - 7)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 7 = 0 : x = - 7

Solve

x + 7 = 0 : x = - 7

Solve

x - 7 = 0 : x = 7

The solutions are

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

5 x^{4} = - 10 i

2 x^{3} + 16 = 0

x^{3} - 8 x^{2} - 9 x + 72 = 0

a^{3} - 9 a^{2} + 14 a = 0

(+ x^{2}) (x - 5) = 1

What are the solutions to the equation 2x^3+14x^2-14x-98=0 ?
The solutions to the equation 2x^3+14x^2-14x-98=0 are x=-7,x=-sqrt(7),x=sqrt(7)
Find the zeros of 2x^3+14x^2-14x-98=0
The zeros of 2x^3+14x^2-14x-98=0 are x=-7,x=-sqrt(7),x=sqrt(7)