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

The solutions to the equation x^4-8x^9-9=0 are x=-1

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

The zeros of x^4-8x^9-9=0 are x=-1

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

x = - 1

Solution steps

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

Factor

- 8 x^{9} + x^{4} - 9 : - (x + 1) (8 x^{8} - 8 x^{7} + 8 x^{6} - 8 x^{5} + 8 x^{4} - 9 x^{3} + 9 x^{2} - 9 x + 9)

- (x + 1) (8 x^{8} - 8 x^{7} + 8 x^{6} - 8 x^{5} + 8 x^{4} - 9 x^{3} + 9 x^{2} - 9 x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or 8 x^{8} - 8 x^{7} + 8 x^{6} - 8 x^{5} + 8 x^{4} - 9 x^{3} + 9 x^{2} - 9 x + 9 = 0

Solve

x + 1 = 0 : x = - 1

Solve

8 x^{8} - 8 x^{7} + 8 x^{6} - 8 x^{5} + 8 x^{4} - 9 x^{3} + 9 x^{2} - 9 x + 9 = 0 :

No Solution for

x \in R

The solution is

x = - 1

(m^{2} + 1)^{3} (m^{2} + m + 1)^{2} = 0

x^{3} + x = - 1

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

2 x^{3} x^{3} x^{2} = 6144

(2 x + 1)^{2} - (x^{2} + 2) (x^{2} - 2) = 4, x + \frac{1}{4} - 3 = 4

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