What are the solutions to the equation 1.1712x^6-4.1862x+3.0151=0 ?

The solutions to the equation 1.1712x^6-4.1862x+3.0151=0 are x\approx 0.99996…,x\approx 0.78643…

Find the zeros of 1.1712x^6-4.1862x+3.0151=0

The zeros of 1.1712x^6-4.1862x+3.0151=0 are x\approx 0.99996…,x\approx 0.78643…

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1.1712 x^{6} - 4.1862 x + 3.0151 = 0

x \approx 0.99996 \dots, x \approx 0.78643 \dots

Solution steps

1.1712 x^{6} - 4.1862 x + 3.0151 = 0

Find one solution for

1.1712 x^{6} - 4.1862 x + 3.0151 = 0

using Newton-Raphson:

x \approx 0.99996 \dots

Apply long division:

\frac{1.1712 x ^{6} - 4.1862 x + 3.0151}{x - 0.99996 \dots} = 1.1712 x^{5} + 1.17115 \dots x^{4} + 1.17111 \dots x^{3} + 1.17107 \dots x^{2} + 1.17103 \dots x - 3.01520 \dots

1.1712 x^{5} + 1.17115 \dots x^{4} + 1.17111 \dots x^{3} + 1.17107 \dots x^{2} + 1.17103 \dots x - 3.01520 \dots \approx 0

Find one solution for

1.1712 x^{5} + 1.17115 \dots x^{4} + 1.17111 \dots x^{3} + 1.17107 \dots x^{2} + 1.17103 \dots x - 3.01520 \dots = 0

using Newton-Raphson:

x \approx 0.78643 \dots

Apply long division:

\frac{1.1712 x ^{5} + 1.17115 \dots x ^{4} + 1.17111 \dots x ^{3} + 1.17107 \dots x ^{2} + 1.17103 \dots x - 3.01520 \dots}{x - 0.78643 \dots} = 1.1712 x^{4} + 2.09223 \dots x^{3} + 2.81653 \dots x^{2} + 3.38610 \dots x + 3.83400 \dots

1.1712 x^{4} + 2.09223 \dots x^{3} + 2.81653 \dots x^{2} + 3.38610 \dots x + 3.83400 \dots \approx 0

Find one solution for

1.1712 x^{4} + 2.09223 \dots x^{3} + 2.81653 \dots x^{2} + 3.38610 \dots x + 3.83400 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.99996 \dots, x \approx 0.78643 \dots

2 x^{3} - 3 x^{2} + 18 x - 27 = 0

x^{2} x + 5 a = 30

0.3 x^{9} - 2.4 = 0

4 x^{3} - 21 x^{2} = 0

x^{7} - 16 x^{4} + 64 x = 0

What are the solutions to the equation 1.1712x^6-4.1862x+3.0151=0 ?
The solutions to the equation 1.1712x^6-4.1862x+3.0151=0 are x\approx 0.99996…,x\approx 0.78643…
Find the zeros of 1.1712x^6-4.1862x+3.0151=0
The zeros of 1.1712x^6-4.1862x+3.0151=0 are x\approx 0.99996…,x\approx 0.78643…