What are the solutions to the equation 4x^3-2x^2+5x=-7 ?

The solutions to the equation 4x^3-2x^2+5x=-7 are x\approx-0.77902…

Find the zeros of 4x^3-2x^2+5x=-7

The zeros of 4x^3-2x^2+5x=-7 are x\approx-0.77902…

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4 x^{3} - 2 x^{2} + 5 x = - 7

x \approx - 0.77902 \dots

Solution steps

4 x^{3} - 2 x^{2} + 5 x = - 7

Move

7

to the left side

4 x^{3} - 2 x^{2} + 5 x + 7 = 0

Find one solution for

4 x^{3} - 2 x^{2} + 5 x + 7 = 0

using Newton-Raphson:

x \approx - 0.77902 \dots

Apply long division:

\frac{4 x ^{3} - 2 x ^{2} + 5 x + 7}{x + 0.77902 \dots} = 4 x^{2} - 5.11610 \dots x + 8.98557 \dots

4 x^{2} - 5.11610 \dots x + 8.98557 \dots \approx 0

Find one solution for

4 x^{2} - 5.11610 \dots x + 8.98557 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.77902 \dots

a^{5} = 3^{5}

x^{3} + 1 3^{2} + 30 x = 0

(- 8 x - 14)^{6} = (- 6 x - 12)^{6}

x^{4} - 3 x^{3} - 6 x^{2} + 3 x + 1 = 0

6 x^{3} + 11 x^{2} - 4 x - 4 = 0

What are the solutions to the equation 4x^3-2x^2+5x=-7 ?
The solutions to the equation 4x^3-2x^2+5x=-7 are x\approx-0.77902…
Find the zeros of 4x^3-2x^2+5x=-7
The zeros of 4x^3-2x^2+5x=-7 are x\approx-0.77902…