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

The solutions to the equation x^4-2x-3=0 are x=-1,x\approx 1.57474…

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

The zeros of x^4-2x-3=0 are x=-1,x\approx 1.57474…

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

x = - 1, x \approx 1.57474 \dots

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x^{3} - x^{2} + x - 3 = 0 : x \approx 1.57474 \dots

The solutions are

x = - 1, x \approx 1.57474 \dots

x^{3} + 6 x^{2} - 16 x = 0

30 x^{4} = 0

972 = \frac{4}{6} π r^{3}

6 (x^{2} - 3) - 2 x (3 x^{2} + 7) = 15 - 2 x

2 m^{3} + 12 m^{2} + 10 m = 0

What are the solutions to the equation x^4-2x-3=0 ?
The solutions to the equation x^4-2x-3=0 are x=-1,x\approx 1.57474…
Find the zeros of x^4-2x-3=0
The zeros of x^4-2x-3=0 are x=-1,x\approx 1.57474…