What are the solutions to the equation 3x-6=-x^2 ?

The solutions to the equation 3x-6=-x^2 are x=-(3+sqrt(33))/2 ,x=(sqrt(33)-3)/2

Find the zeros of 3x-6=-x^2

The zeros of 3x-6=-x^2 are x=-(3+sqrt(33))/2 ,x=(sqrt(33)-3)/2

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3 x - 6 = - x^{2}

x = - \frac{3 + 33}{2}, x = \frac{33 - 3}{2}

Decimal Notation

x = - 4.37228 \dots, x = 1.37228 \dots

Solution steps

3 x - 6 = - x^{2}

Switch sides

- x^{2} = 3 x - 6

Move

6

to the left side

- x^{2} + 6 = 3 x

Move

3 x

to the left side

- x^{2} + 6 - 3 x = 0

Write in the standard form

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

- x^{2} - 3 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 1 ) \cdot 6}{2 ( - 1 )}

(- 3)^{2} - 4 (- 1) \cdot 6 = 33

x_{1, 2} = \frac{- ( - 3 ) \pm 33}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 33}{2 ( - 1 )}, x_{2} = \frac{- ( - 3 ) - 33}{2 ( - 1 )}

x = \frac{- ( - 3 ) + 33}{2 ( - 1 )} : - \frac{3 + 33}{2}

x = \frac{- ( - 3 ) - 33}{2 ( - 1 )} : \frac{33 - 3}{2}

The solutions to the quadratic equation are:

x = - \frac{3 + 33}{2}, x = \frac{33 - 3}{2}

0.1 n^{2} + 100 n + 8 = 60000

x, x^{2} y^{3} = 6^{12}

4.68 x^{2} - 15.5 x + 12.43 = 0

3 x + 18 = x^{2}

y, y^{2} + 6 y + 9 = x + 8

What are the solutions to the equation 3x-6=-x^2 ?
The solutions to the equation 3x-6=-x^2 are x=-(3+sqrt(33))/2 ,x=(sqrt(33)-3)/2
Find the zeros of 3x-6=-x^2
The zeros of 3x-6=-x^2 are x=-(3+sqrt(33))/2 ,x=(sqrt(33)-3)/2