What are the solutions to the equation x-2x^2+13x-21=0 ?

The solutions to the equation x-2x^2+13x-21=0 are x=(7-sqrt(7))/2 ,x=(7+sqrt(7))/2

Find the zeros of x-2x^2+13x-21=0

The zeros of x-2x^2+13x-21=0 are x=(7-sqrt(7))/2 ,x=(7+sqrt(7))/2

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x - 2 x^{2} + 13 x - 21 = 0

x = \frac{7 - 7}{2}, x = \frac{7 + 7}{2}

Decimal Notation

x = 2.17712 \dots, x = 4.82287 \dots

Solution steps

x - 2 x^{2} + 13 x - 21 = 0

Refine

- 2 x^{2} + 14 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 ( - 2 ) ( - 21 )}{2 ( - 2 )}

1 4^{2} - 4 (- 2) (- 21) = 27

x_{1, 2} = \frac{- 14 \pm 2 7}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 14 + 2 7}{2 ( - 2 )}, x_{2} = \frac{- 14 - 2 7}{2 ( - 2 )}

x = \frac{- 14 + 2 7}{2 ( - 2 )} : \frac{7 - 7}{2}

x = \frac{- 14 - 2 7}{2 ( - 2 )} : \frac{7 + 7}{2}

The solutions to the quadratic equation are:

x = \frac{7 - 7}{2}, x = \frac{7 + 7}{2}

x = \frac{1}{2} x^{2} - \frac{1}{2} x + 1

m^{2} + 18 = 0

\frac{x ^{2}}{16} + 5 = 10

- 4 x^{2} + 8000 x = 1000000

0.1 x^{2} - 30 x + 2250 = 0

What are the solutions to the equation x-2x^2+13x-21=0 ?
The solutions to the equation x-2x^2+13x-21=0 are x=(7-sqrt(7))/2 ,x=(7+sqrt(7))/2
Find the zeros of x-2x^2+13x-21=0
The zeros of x-2x^2+13x-21=0 are x=(7-sqrt(7))/2 ,x=(7+sqrt(7))/2