What are the solutions to the equation x^3+3x^2-14x-20=0 ?

The solutions to the equation x^3+3x^2-14x-20=0 are x=-5,x=1+sqrt(5),x=1-sqrt(5)

Find the zeros of x^3+3x^2-14x-20=0

The zeros of x^3+3x^2-14x-20=0 are x=-5,x=1+sqrt(5),x=1-sqrt(5)

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x^{3} + 3 x^{2} - 14 x - 20 = 0

x = - 5, x = 1 + 5, x = 1 - 5

Decimal Notation

x = - 5, x = 3.23606 \dots, x = - 1.23606 \dots

Solution steps

x^{3} + 3 x^{2} - 14 x - 20 = 0

Factor

x^{3} + 3 x^{2} - 14 x - 20 : (x + 5) (x^{2} - 2 x - 4)

(x + 5) (x^{2} - 2 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} - 2 x - 4 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} - 2 x - 4 = 0 : x = 1 + 5, x = 1 - 5

The solutions are

x = - 5, x = 1 + 5, x = 1 - 5

x^{3} - 16 x^{2} + 77 x - 98 = 0

4 x^{4} - 9 x^{2} - 2 x + 1 = - 3 x^{3}

y, x^{3} + y^{3} = 9

y, x^{3} + y^{3} = 2

x^{8} = - x^{7} + 3

What are the solutions to the equation x^3+3x^2-14x-20=0 ?
The solutions to the equation x^3+3x^2-14x-20=0 are x=-5,x=1+sqrt(5),x=1-sqrt(5)
Find the zeros of x^3+3x^2-14x-20=0
The zeros of x^3+3x^2-14x-20=0 are x=-5,x=1+sqrt(5),x=1-sqrt(5)