What are the solutions to the equation n^2-18n+66=0 ?

The solutions to the equation n^2-18n+66=0 are n=9+sqrt(15),n=9-sqrt(15)

Find the zeros of n^2-18n+66=0

The zeros of n^2-18n+66=0 are n=9+sqrt(15),n=9-sqrt(15)

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n^{2} - 18 n + 66 = 0

n = 9 + 15, n = 9 - 15

Decimal Notation

n = 12.87298 \dots, n = 5.12701 \dots

Solution steps

n^{2} - 18 n + 66 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 66}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 66 = 215

n_{1, 2} = \frac{- ( - 18 ) \pm 2 15}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- ( - 18 ) + 2 15}{2 \cdot 1}, n_{2} = \frac{- ( - 18 ) - 2 15}{2 \cdot 1}

n = \frac{- ( - 18 ) + 2 15}{2 \cdot 1} : 9 + 15

n = \frac{- ( - 18 ) - 2 15}{2 \cdot 1} : 9 - 15

The solutions to the quadratic equation are:

n = 9 + 15, n = 9 - 15

x^{2} + 9 x - 5 = 0

- a^{2} + 3 a + 4

x^{2} + (\frac{2}{3})^{2} = 1

9 y^{4} - 27 y

3 (x + 2) > 15

What are the solutions to the equation n^2-18n+66=0 ?
The solutions to the equation n^2-18n+66=0 are n=9+sqrt(15),n=9-sqrt(15)
Find the zeros of n^2-18n+66=0
The zeros of n^2-18n+66=0 are n=9+sqrt(15),n=9-sqrt(15)