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

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

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

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

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x^{2} = 5 - 6 x

x = - 3 + 14, x = - 3 - 14

Decimal Notation

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

Solution steps

x^{2} = 5 - 6 x

Move

6 x

to the left side

x^{2} + 6 x = 5

Move

5

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

x = \frac{- 6 - 2 14}{2 \cdot 1} : - 3 - 14

The solutions to the quadratic equation are:

x = - 3 + 14, x = - 3 - 14

4 \leq x < 9

(2 x^{2} y^{4})^{3}

z^{2} - 10 z + 16

6 x - 16 = 0

6 x^{2} - 24 x = 0

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