What are the solutions to the equation x^4-8x-9=0 ?

The solutions to the equation x^4-8x-9=0 are x=-1,x\approx 2.28547…

Find the zeros of x^4-8x-9=0

The zeros of x^4-8x-9=0 are x=-1,x\approx 2.28547…

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x^{4} - 8 x - 9 = 0

x = - 1, x \approx 2.28547 \dots

Solution steps

x^{4} - 8 x - 9 = 0

Factor

x^{4} - 8 x - 9 : (x + 1) (x^{3} - x^{2} + x - 9)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x^{3} - x^{2} + x - 9 = 0 : x \approx 2.28547 \dots

The solutions are

x = - 1, x \approx 2.28547 \dots

x^{12} - x^{10} = 0

6 + 3 (2 x - 7) - 2 x = 5 x^{5} x

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

(x) = (x^{3} + x) (x^{3} + x^{4})

y, x = (y + 1)^{3} - 2

What are the solutions to the equation x^4-8x-9=0 ?
The solutions to the equation x^4-8x-9=0 are x=-1,x\approx 2.28547…
Find the zeros of x^4-8x-9=0
The zeros of x^4-8x-9=0 are x=-1,x\approx 2.28547…