What are the solutions to the equation 2.5x^3+6.7x^2+4.9x-0.5=0 ?

The solutions to the equation 2.5x^3+6.7x^2+4.9x-0.5=0 are x\approx 0.09047…

Find the zeros of 2.5x^3+6.7x^2+4.9x-0.5=0

The zeros of 2.5x^3+6.7x^2+4.9x-0.5=0 are x\approx 0.09047…

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2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

x \approx 0.09047 \dots

Solution steps

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

Multiply both sides by

10

25 x^{3} + 67 x^{2} + 49 x - 5 = 0

Find one solution for

25 x^{3} + 67 x^{2} + 49 x - 5 = 0

using Newton-Raphson:

x \approx 0.09047 \dots

Apply long division:

\frac{25 x ^{3} + 67 x ^{2} + 49 x - 5}{x - 0.09047 \dots} = 25 x^{2} + 69.26178 \dots x + 55.26619 \dots

25 x^{2} + 69.26178 \dots x + 55.26619 \dots \approx 0

Find one solution for

25 x^{2} + 69.26178 \dots x + 55.26619 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.09047 \dots

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

y^{5} - 16 y^{4} + 14 y^{3} = 0

x^{3} - 6 x - 26 = 0

500 x - 500 x^{3} = 96

2 x^{3} + 5 x^{2} - 36 x = 90

What are the solutions to the equation 2.5x^3+6.7x^2+4.9x-0.5=0 ?
The solutions to the equation 2.5x^3+6.7x^2+4.9x-0.5=0 are x\approx 0.09047…
Find the zeros of 2.5x^3+6.7x^2+4.9x-0.5=0
The zeros of 2.5x^3+6.7x^2+4.9x-0.5=0 are x\approx 0.09047…