What are the solutions to the equation 9x^4-x=40 ?

The solutions to the equation 9x^4-x=40 are x\approx-1.43872…,x\approx 1.46507…

Find the zeros of 9x^4-x=40

The zeros of 9x^4-x=40 are x\approx-1.43872…,x\approx 1.46507…

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9 x^{4} - x = 40

x \approx - 1.43872 \dots, x \approx 1.46507 \dots

Solution steps

9 x^{4} - x = 40

Move

40

to the left side

9 x^{4} - x - 40 = 0

Find one solution for

9 x^{4} - x - 40 = 0

using Newton-Raphson:

x \approx - 1.43872 \dots

Apply long division:

\frac{9 x ^{4} - x - 40}{x + 1.43872 \dots} = 9 x^{3} - 12.94850 \dots x^{2} + 18.62931 \dots x - 27.80243 \dots

9 x^{3} - 12.94850 \dots x^{2} + 18.62931 \dots x - 27.80243 \dots \approx 0

Find one solution for

9 x^{3} - 12.94850 \dots x^{2} + 18.62931 \dots x - 27.80243 \dots = 0

using Newton-Raphson:

x \approx 1.46507 \dots

Apply long division:

\frac{9 x ^{3} - 12.94850 \dots x ^{2} + 18.62931 \dots x - 27.80243 \dots}{x - 1.46507 \dots} = 9 x^{2} + 0.23717 \dots x + 18.97679 \dots

9 x^{2} + 0.23717 \dots x + 18.97679 \dots \approx 0

Find one solution for

9 x^{2} + 0.23717 \dots x + 18.97679 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 1.43872 \dots, x \approx 1.46507 \dots

\frac{( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} ( - a x ^{2} y ^{3} )}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

(159) (0.64) (T - 277) = (260) (341 - T)

(3 k - 1)^{2} = - 8

4 r^{2} + 20 r + 25 = 0

\frac{2}{5} \cdot 20

What are the solutions to the equation 9x^4-x=40 ?
The solutions to the equation 9x^4-x=40 are x\approx-1.43872…,x\approx 1.46507…
Find the zeros of 9x^4-x=40
The zeros of 9x^4-x=40 are x\approx-1.43872…,x\approx 1.46507…