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

The solutions to the equation x^4+3x-4=0 are x=1,x\approx-1.74295…

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

The zeros of x^4+3x-4=0 are x=1,x\approx-1.74295…

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

x = 1, x \approx - 1.74295 \dots

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x^{3} + x^{2} + x + 4 = 0 : x \approx - 1.74295 \dots

The solutions are

x = 1, x \approx - 1.74295 \dots

(z^{2} + 1)^{2} = 0

(1 - x) ((3 - x) (1 - x) + 1) = 0

x^{3} - 4 x^{2} + 9 x + 6 = 0

\frac{x}{2} - 15 = x^{5}

x^{5} + 3 x - 1 = 0

What are the solutions to the equation x^4+3x-4=0 ?
The solutions to the equation x^4+3x-4=0 are x=1,x\approx-1.74295…
Find the zeros of x^4+3x-4=0
The zeros of x^4+3x-4=0 are x=1,x\approx-1.74295…