What are the solutions to the equation x^2+6=27x ?

The solutions to the equation x^2+6=27x are x=(27+sqrt(705))/2 ,x=(27-sqrt(705))/2

Find the zeros of x^2+6=27x

The zeros of x^2+6=27x are x=(27+sqrt(705))/2 ,x=(27-sqrt(705))/2

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x^{2} + 6 = 27 x

x = \frac{27 + 705}{2}, x = \frac{27 - 705}{2}

Decimal Notation

x = 26.77591 \dots, x = 0.22408 \dots

Solution steps

x^{2} + 6 = 27 x

Move

27 x

to the left side

x^{2} + 6 - 27 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 27 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 27 ) \pm ( - 27 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

(- 27)^{2} - 4 \cdot 1 \cdot 6 = 705

x_{1, 2} = \frac{- ( - 27 ) \pm 705}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 27 ) + 705}{2 \cdot 1}, x_{2} = \frac{- ( - 27 ) - 705}{2 \cdot 1}

x = \frac{- ( - 27 ) + 705}{2 \cdot 1} : \frac{27 + 705}{2}

x = \frac{- ( - 27 ) - 705}{2 \cdot 1} : \frac{27 - 705}{2}

The solutions to the quadratic equation are:

x = \frac{27 + 705}{2}, x = \frac{27 - 705}{2}

x^{2} = (3 a)^{2} + (a 3)^{2}

4 x^{2} - 2 x

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

2 (16 - 3 x^{2}) = 0

18 x^{2} - 504 x + 2646 = 0

What are the solutions to the equation x^2+6=27x ?
The solutions to the equation x^2+6=27x are x=(27+sqrt(705))/2 ,x=(27-sqrt(705))/2
Find the zeros of x^2+6=27x
The zeros of x^2+6=27x are x=(27+sqrt(705))/2 ,x=(27-sqrt(705))/2