What are the solutions to the equation x^3-7x^2+6x+20=0 ?

The solutions to the equation x^3-7x^2+6x+20=0 are x=5,x=1+sqrt(5),x=1-sqrt(5)

Find the zeros of x^3-7x^2+6x+20=0

The zeros of x^3-7x^2+6x+20=0 are x=5,x=1+sqrt(5),x=1-sqrt(5)

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x^{3} - 7 x^{2} + 6 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} - 7 x^{2} + 6 x + 20 = 0

Factor

x^{3} - 7 x^{2} + 6 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

- 10 x^{4} + 6 = 0

- 4 s^{3} - 24 s^{2} - 72 s - 80 = 0

x^{3} - 7 x^{2} + 17 x + 25 = 0

3 x^{6} - 4 x^{3} - 46375 = 0

2 x^{3} + 5 x^{2} + 4 x + 1 = 0

What are the solutions to the equation x^3-7x^2+6x+20=0 ?
The solutions to the equation x^3-7x^2+6x+20=0 are x=5,x=1+sqrt(5),x=1-sqrt(5)
Find the zeros of x^3-7x^2+6x+20=0
The zeros of x^3-7x^2+6x+20=0 are x=5,x=1+sqrt(5),x=1-sqrt(5)