What are the solutions to the equation xx^2-7x=180 ?

The solutions to the equation xx^2-7x=180 are x\approx 6.05878…

Find the zeros of xx^2-7x=180

The zeros of xx^2-7x=180 are x\approx 6.05878…

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x x^{2} - 7 x = 180

x \approx 6.05878 \dots

Solution steps

x x^{2} - 7 x = 180

Refine

x^{3} - 7 x = 180

Move

180

to the left side

x^{3} - 7 x - 180 = 0

Find one solution for

x^{3} - 7 x - 180 = 0

using Newton-Raphson:

x \approx 6.05878 \dots

Apply long division:

\frac{x ^{3} - 7 x - 180}{x - 6.05878 \dots} = x^{2} + 6.05878 \dots x + 29.70891 \dots

x^{2} + 6.05878 \dots x + 29.70891 \dots \approx 0

Find one solution for

x^{2} + 6.05878 \dots x + 29.70891 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 6.05878 \dots

27 x^{2} - 42 x - 3 x^{3} = 0

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

x^{3} + 2 x^{2} - 4 x + 16 = 0

6 \cdot x^{3} = 180

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

What are the solutions to the equation xx^2-7x=180 ?
The solutions to the equation xx^2-7x=180 are x\approx 6.05878…
Find the zeros of xx^2-7x=180
The zeros of xx^2-7x=180 are x\approx 6.05878…