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

The solutions to the equation x^4-5x^3+4=0 are x=1,x\approx 4.96736…

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

The zeros of x^4-5x^3+4=0 are x=1,x\approx 4.96736…

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

x = 1, x \approx 4.96736 \dots

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x^{3} - 4 x^{2} - 4 x - 4 = 0 : x \approx 4.96736 \dots

The solutions are

x = 1, x \approx 4.96736 \dots

x^{3} - x^{2} - x - 25 = 470

- x^{3} - x^{2} + 8 x + 12 = 0

2 a^{2} (a^{2} + 2) = 27 + 7 a^{2}

2 x - 53 = 2 + x^{15}

5 g^{2} + g^{3} = - 4 g

What are the solutions to the equation x^4-5x^3+4=0 ?
The solutions to the equation x^4-5x^3+4=0 are x=1,x\approx 4.96736…
Find the zeros of x^4-5x^3+4=0
The zeros of x^4-5x^3+4=0 are x=1,x\approx 4.96736…