What are the solutions to the equation 5=3-2/7 c^3-72c,25=2 ?

The solutions to the equation 5=3-2/7 c^3-72c,25=2 are No Solution for c\in\mathbb{R}

Find the zeros of 5=3-2/7 c^3-72c,25=2

The zeros of 5=3-2/7 c^3-72c,25=2 are No Solution for c\in\mathbb{R}

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5 = 3 - \frac{2}{7} c^{3} - 72 c, 25 = 2

No Solution for c \in R

Solution steps

5 = 3 - \frac{2}{7} c^{3} - 72 c

Multiply both sides by

7

35 = 21 - 2 c^{3} - 504 c

Switch sides

21 - 2 c^{3} - 504 c = 35

Move

35

to the left side

- 2 c^{3} - 504 c - 14 = 0

Find one solution for

- 2 c^{3} - 504 c - 14 = 0

using Newton-Raphson:

c \approx - 0.02777 \dots

Apply long division:

\frac{- 2 c ^{3} - 504 c - 14}{c + 0.02777 \dots} = - 2 c^{2} + 0.05555 \dots c - 504.00154 \dots

- 2 c^{2} + 0.05555 \dots c - 504.00154 \dots \approx 0

Find one solution for

- 2 c^{2} + 0.05555 \dots c - 504.00154 \dots = 0

using Newton-Raphson:

No Solution for

c \in R

The solution is

c \approx - 0.02777 \dots

Check constrains

No Solution for c \in R

4 x^{3} + 13 = 45

5 x (x - 1)^{2} = 1

3 x^{4} - 3 x^{3} = 10 x^{2}

x^{3} - 2 x - 8 = 0

a \cdot a^{2} \cdot a^{3} = a^{5}

What are the solutions to the equation 5=3-2/7 c^3-72c,25=2 ?
The solutions to the equation 5=3-2/7 c^3-72c,25=2 are No Solution for c\in\mathbb{R}
Find the zeros of 5=3-2/7 c^3-72c,25=2
The zeros of 5=3-2/7 c^3-72c,25=2 are No Solution for c\in\mathbb{R}