What are the solutions to the equation 30pir^2+4pir^3-4500=0 ?

The solutions to the equation 30pir^2+4pir^3-4500=0 are r\approx 5.29111…

Find the zeros of 30pir^2+4pir^3-4500=0

The zeros of 30pir^2+4pir^3-4500=0 are r\approx 5.29111…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

30 π r^{2} + 4 π r^{3} - 4500 = 0

r \approx 5.29111 \dots

Solution steps

30 π r^{2} + 4 π r^{3} - 4500 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

4 π r^{3} + 30 π r^{2} - 4500 = 0

Find one solution for

12.56637 \dots r^{3} + 94.24777 \dots r^{2} - 4500 = 0

using Newton-Raphson:

r \approx 5.29111 \dots

Apply long division:

\frac{4 π r ^{3} + 30 π r ^{2} - 4500}{r - 5.29111 \dots} = 12.56637 \dots r^{2} + 160.73788 \dots r + 850.48249 \dots

12.56637 \dots r^{2} + 160.73788 \dots r + 850.48249 \dots \approx 0

Find one solution for

12.56637 \dots r^{2} + 160.73788 \dots r + 850.48249 \dots = 0

using Newton-Raphson:

No Solution for

r \in R

The solution is

r \approx 5.29111 \dots

2 x^{3} - 9 x^{2} + 7 x + 6 = 0

(3 x^{2} + 7 x + 2) (3 x - a) = 0

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

6 x^{3} = 48

4 x^{3} + 5 x^{2} - 40 x - 50 = 0

What are the solutions to the equation 30pir^2+4pir^3-4500=0 ?
The solutions to the equation 30pir^2+4pir^3-4500=0 are r\approx 5.29111…
Find the zeros of 30pir^2+4pir^3-4500=0
The zeros of 30pir^2+4pir^3-4500=0 are r\approx 5.29111…