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

The solutions to the equation x^4-3x+2=0 are x=1,x\approx 0.81053…

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

The zeros of x^4-3x+2=0 are x=1,x\approx 0.81053…

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

x = 1, x \approx 0.81053 \dots

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x^{3} + x^{2} + x - 2 = 0 : x \approx 0.81053 \dots

The solutions are

x = 1, x \approx 0.81053 \dots

t^{3} - 5 t^{2} + 14 t = 0

x^{3} - 7 x^{2} - 25 x + 175 = 0

(3 x^{8}) \cdot x^{4} = 3 x

y^{4} = 9

x^{7} = 128

What are the solutions to the equation x^4-3x+2=0 ?
The solutions to the equation x^4-3x+2=0 are x=1,x\approx 0.81053…
Find the zeros of x^4-3x+2=0
The zeros of x^4-3x+2=0 are x=1,x\approx 0.81053…