What are the solutions to the equation x^4-2x^3-4x+5=0 ?

The solutions to the equation x^4-2x^3-4x+5=0 are x=1,x\approx 2.34025…

Find the zeros of x^4-2x^3-4x+5=0

The zeros of x^4-2x^3-4x+5=0 are x=1,x\approx 2.34025…

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

x = 1, x \approx 2.34025 \dots

Solution steps

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

Factor

x^{4} - 2 x^{3} - 4 x + 5 : (x - 1) (x^{3} - x^{2} - x - 5)

(x - 1) (x^{3} - x^{2} - x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x^{3} - x^{2} - x - 5 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{3} - x^{2} - x - 5 = 0 : x \approx 2.34025 \dots

The solutions are

x = 1, x \approx 2.34025 \dots

\frac{x ^{4}}{3} = 16

\frac{5}{2} x + 1 - 2 \frac{x}{1} - 2 x = 1 - 2 \frac{( 3 - 2 x )}{4} x^{2} - 1

320 = \frac{x ^{7}}{2}

x^{3} - x - 990 = 0

(2 x^{2} - 1) (x + 2) (x^{2} - 2 x) (x^{3} + 5) = 0

What are the solutions to the equation x^4-2x^3-4x+5=0 ?
The solutions to the equation x^4-2x^3-4x+5=0 are x=1,x\approx 2.34025…
Find the zeros of x^4-2x^3-4x+5=0
The zeros of x^4-2x^3-4x+5=0 are x=1,x\approx 2.34025…