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

The solutions to the equation -sqrt(5)x^4-3x+4=0 are x\approx 0.88208…,x\approx-1.38147…

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

The zeros of -sqrt(5)x^4-3x+4=0 are x\approx 0.88208…,x\approx-1.38147…

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

x \approx 0.88208 \dots, x \approx - 1.38147 \dots

Solution steps

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

Find one solution for

- 2.23606 \dots x^{4} - 3 x + 4 = 0

using Newton-Raphson:

x \approx 0.88208 \dots

Apply long division:

\frac{- 5 x ^{4} - 3 x + 4}{x - 0.88208 \dots} = - 2.23606 \dots x^{3} - 1.97240 \dots x^{2} - 1.73983 \dots x - 4.53469 \dots

- 2.23606 \dots x^{3} - 1.97240 \dots x^{2} - 1.73983 \dots x - 4.53469 \dots \approx 0

Find one solution for

- 2.23606 \dots x^{3} - 1.97240 \dots x^{2} - 1.73983 \dots x - 4.53469 \dots = 0

using Newton-Raphson:

x \approx - 1.38147 \dots

Apply long division:

\frac{- 2.23606 \dots x ^{3} - 1.97240 \dots x ^{2} - 1.73983 \dots x - 4.53469 \dots}{x + 1.38147 \dots} = - 2.23606 \dots x^{2} + 1.11666 \dots x - 3.28249 \dots

- 2.23606 \dots x^{2} + 1.11666 \dots x - 3.28249 \dots \approx 0

Find one solution for

- 2.23606 \dots x^{2} + 1.11666 \dots x - 3.28249 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.88208 \dots, x \approx - 1.38147 \dots

x, y = (x - 2)^{3} - 3

x^{3} = - 11

x^{3} = - 18

x^{3} = - 16

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

What are the solutions to the equation -sqrt(5)x^4-3x+4=0 ?
The solutions to the equation -sqrt(5)x^4-3x+4=0 are x\approx 0.88208…,x\approx-1.38147…
Find the zeros of -sqrt(5)x^4-3x+4=0
The zeros of -sqrt(5)x^4-3x+4=0 are x\approx 0.88208…,x\approx-1.38147…