What are the solutions to the equation 5+6x-x^2=0 ?

The solutions to the equation 5+6x-x^2=0 are x=3-sqrt(14),x=3+sqrt(14)

Find the zeros of 5+6x-x^2=0

The zeros of 5+6x-x^2=0 are x=3-sqrt(14),x=3+sqrt(14)

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5 + 6 x - x^{2} = 0

x = 3 - 14, x = 3 + 14

Decimal Notation

x = - 0.74165 \dots, x = 6.74165 \dots

Solution steps

5 + 6 x - x^{2} = 0

Write in the standard form

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

- x^{2} + 6 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 1 ) \cdot 5}{2 ( - 1 )}

6^{2} - 4 (- 1) \cdot 5 = 214

x_{1, 2} = \frac{- 6 \pm 2 14}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 6 + 2 14}{2 ( - 1 )}, x_{2} = \frac{- 6 - 2 14}{2 ( - 1 )}

x = \frac{- 6 + 2 14}{2 ( - 1 )} : 3 - 14

x = \frac{- 6 - 2 14}{2 ( - 1 )} : 3 + 14

The solutions to the quadratic equation are:

x = 3 - 14, x = 3 + 14

2 x^{2} - 6 x + 5

r, S = r - rr

3 x^{2} - 24 x - 48 = 0

3 x^{2} + 54 = - 54

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

What are the solutions to the equation 5+6x-x^2=0 ?
The solutions to the equation 5+6x-x^2=0 are x=3-sqrt(14),x=3+sqrt(14)
Find the zeros of 5+6x-x^2=0
The zeros of 5+6x-x^2=0 are x=3-sqrt(14),x=3+sqrt(14)