What is the answer to 6sqrt(n^2-3n)=36 ?

The answer to 6sqrt(n^2-3n)=36 is n=(3+3sqrt(17))/2 ,n=(3-3sqrt(17))/2

Solve for n: 6sqrt(n^2-3n)=36

The solution is n=(3+3sqrt(17))/2 ,n=(3-3sqrt(17))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 n^{2} - 3 n = 36

n = \frac{3 + 3 17}{2}, n = \frac{3 - 3 17}{2}

Decimal Notation

n = 7.68465 \dots, n = - 4.68465 \dots

Solution steps

6 n^{2} - 3 n = 36

Divide both sides by

6

n^{2} - 3 n = 6

Square both sides:

n^{2} - 3 n = 36

n^{2} - 3 n = 36

Solve

n^{2} - 3 n = 36 : n = \frac{3 + 3 17}{2}, n = \frac{3 - 3 17}{2}

n = \frac{3 + 3 17}{2}, n = \frac{3 - 3 17}{2}

Verify Solutions:

n = \frac{3 + 3 17}{2}

True

, n = \frac{3 - 3 17}{2}

True

The solutions are

n = \frac{3 + 3 17}{2}, n = \frac{3 - 3 17}{2}

- \frac{3}{2} = x^{2} + 2 x + 3

- 2 y - 4 + 2 y + 8 = 2

2 x + 3 - 4 = 0

(3 - x) (3 + x) = 7

What is the answer to 6sqrt(n^2-3n)=36 ?
The answer to 6sqrt(n^2-3n)=36 is n=(3+3sqrt(17))/2 ,n=(3-3sqrt(17))/2
Solve for n: 6sqrt(n^2-3n)=36
The solution is n=(3+3sqrt(17))/2 ,n=(3-3sqrt(17))/2