What are the solutions to the equation n^2-5n+6=5n ?

The solutions to the equation n^2-5n+6=5n are n=5+sqrt(19),n=5-sqrt(19)

Find the zeros of n^2-5n+6=5n

The zeros of n^2-5n+6=5n are n=5+sqrt(19),n=5-sqrt(19)

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n^{2} - 5 n + 6 = 5 n

n = 5 + 19, n = 5 - 19

Decimal Notation

n = 9.35889 \dots, n = 0.64110 \dots

Solution steps

n^{2} - 5 n + 6 = 5 n

Move

5 n

to the left side

n^{2} - 10 n + 6 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 6 = 219

n_{1, 2} = \frac{- ( - 10 ) \pm 2 19}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- ( - 10 ) + 2 19}{2 \cdot 1}, n_{2} = \frac{- ( - 10 ) - 2 19}{2 \cdot 1}

n = \frac{- ( - 10 ) + 2 19}{2 \cdot 1} : 5 + 19

n = \frac{- ( - 10 ) - 2 19}{2 \cdot 1} : 5 - 19

The solutions to the quadratic equation are:

n = 5 + 19, n = 5 - 19

1 = w^{2}

\frac{1}{3} x^{2} - 27 = 0

x^{2} - 5 x = 7 x - x^{2}

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

y, 3 y^{2} - 2 x^{2} = 6 - 2 x y

What are the solutions to the equation n^2-5n+6=5n ?
The solutions to the equation n^2-5n+6=5n are n=5+sqrt(19),n=5-sqrt(19)
Find the zeros of n^2-5n+6=5n
The zeros of n^2-5n+6=5n are n=5+sqrt(19),n=5-sqrt(19)