What are the solutions to the equation 4x^4+13x+9=0 ?

The solutions to the equation 4x^4+13x+9=0 are x=-1,x\approx-0.86289…

Find the zeros of 4x^4+13x+9=0

The zeros of 4x^4+13x+9=0 are x=-1,x\approx-0.86289…

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4 x^{4} + 13 x + 9 = 0

x = - 1, x \approx - 0.86289 \dots

Solution steps

4 x^{4} + 13 x + 9 = 0

Factor

4 x^{4} + 13 x + 9 : (x + 1) (4 x^{3} - 4 x^{2} + 4 x + 9)

(x + 1) (4 x^{3} - 4 x^{2} + 4 x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or 4 x^{3} - 4 x^{2} + 4 x + 9 = 0

Solve

x + 1 = 0 : x = - 1

Solve

4 x^{3} - 4 x^{2} + 4 x + 9 = 0 : x \approx - 0.86289 \dots

The solutions are

x = - 1, x \approx - 0.86289 \dots

(x - 1)^{3} = 27

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

(6 x + 9)^{3} + 3 = 0

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

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

What are the solutions to the equation 4x^4+13x+9=0 ?
The solutions to the equation 4x^4+13x+9=0 are x=-1,x\approx-0.86289…
Find the zeros of 4x^4+13x+9=0
The zeros of 4x^4+13x+9=0 are x=-1,x\approx-0.86289…