What are the solutions to the equation y^3+y=16 ?

The solutions to the equation y^3+y=16 are y\approx 2.38768…

Find the zeros of y^3+y=16

The zeros of y^3+y=16 are y\approx 2.38768…

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Popular >

y^{3} + y = 16

y \approx 2.38768 \dots

Solution steps

y^{3} + y = 16

Move

16

to the left side

y^{3} + y - 16 = 0

Find one solution for

y^{3} + y - 16 = 0

using Newton-Raphson:

y \approx 2.38768 \dots

Apply long division:

\frac{y ^{3} + y - 16}{y - 2.38768 \dots} = y^{2} + 2.38768 \dots y + 6.70104 \dots

y^{2} + 2.38768 \dots y + 6.70104 \dots \approx 0

Find one solution for

y^{2} + 2.38768 \dots y + 6.70104 \dots = 0

using Newton-Raphson:

No Solution for

y \in R

The solution is

y \approx 2.38768 \dots

y^{3} - 3 y - 2 = 0

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

x^{4} - 17 x^{2} + 16 = 0

x^{5} = 89

d (x^{3} + 8) - (x + 2) (x - 4) = 0

What are the solutions to the equation y^3+y=16 ?
The solutions to the equation y^3+y=16 are y\approx 2.38768…
Find the zeros of y^3+y=16
The zeros of y^3+y=16 are y\approx 2.38768…