What are the solutions to the equation ((35x-50))/5 =2x^{15} ?

The solutions to the equation ((35x-50))/5 =2x^{15} are x\approx-1.15821…

Find the zeros of ((35x-50))/5 =2x^{15}

The zeros of ((35x-50))/5 =2x^{15} are x\approx-1.15821…

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\frac{( 35 x - 50 )}{5} = 2 x^{15}

x \approx - 1.15821 \dots

Solution steps

\frac{( 35 x - 50 )}{5} = 2 x^{15}

Multiply both sides by

5

35 x - 50 = 10 x^{15}

Switch sides

10 x^{15} = 35 x - 50

Move

50

to the left side

10 x^{15} + 50 = 35 x

Move

35 x

to the left side

10 x^{15} + 50 - 35 x = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

10 x^{15} - 35 x + 50 = 0

Find one solution for

10 x^{15} - 35 x + 50 = 0

using Newton-Raphson:

x \approx - 1.15821 \dots

Apply long division:

\frac{10 x ^{15} - 35 x + 50}{x + 1.15821 \dots} = 10 x^{14} - 11.58213 \dots x^{13} + 13.41458 \dots x^{12} - 15.53694 \dots x^{11} + 17.99509 \dots x^{10} - 20.84216 \dots x^{9} + 24.13967 \dots x^{8} - 27.95888 \dots x^{7} + 32.38235 \dots x^{6} - 37.50567 \dots x^{5} + 43.43957 \dots x^{4} - 50.31229 \dots x^{3} + 58.27236 \dots x^{2} - 67.49183 \dots x + 43.16994 \dots

10 x^{14} - 11.58213 \dots x^{13} + 13.41458 \dots x^{12} - 15.53694 \dots x^{11} + 17.99509 \dots x^{10} - 20.84216 \dots x^{9} + 24.13967 \dots x^{8} - 27.95888 \dots x^{7} + 32.38235 \dots x^{6} - 37.50567 \dots x^{5} + 43.43957 \dots x^{4} - 50.31229 \dots x^{3} + 58.27236 \dots x^{2} - 67.49183 \dots x + 43.16994 \dots \approx 0

Find one solution for

10 x^{14} - 11.58213 \dots x^{13} + 13.41458 \dots x^{12} - 15.53694 \dots x^{11} + 17.99509 \dots x^{10} - 20.84216 \dots x^{9} + 24.13967 \dots x^{8} - 27.95888 \dots x^{7} + 32.38235 \dots x^{6} - 37.50567 \dots x^{5} + 43.43957 \dots x^{4} - 50.31229 \dots x^{3} + 58.27236 \dots x^{2} - 67.49183 \dots x + 43.16994 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.15821 \dots

- 10 x^{3} + 6 x^{2} + 90 x - 54 = 0

- y^{3} + 5 y^{2} - 7 y + 3 = 0

z^{3} = 1 + 3 i

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

- 8 = p^{3}

What are the solutions to the equation ((35x-50))/5 =2x^{15} ?
The solutions to the equation ((35x-50))/5 =2x^{15} are x\approx-1.15821…
Find the zeros of ((35x-50))/5 =2x^{15}
The zeros of ((35x-50))/5 =2x^{15} are x\approx-1.15821…