What are the solutions to the equation x(x+6)=3 ?

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

Find the zeros of x(x+6)=3

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

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x (x + 6) = 3

x = - 3 + 23, x = - 3 - 23

Decimal Notation

x = 0.46410 \dots, x = - 6.46410 \dots

Solution steps

x (x + 6) = 3

Expand

x (x + 6) : x^{2} + 6 x

x^{2} + 6 x = 3

Move

3

to the left side

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

Solve with the quadratic formula

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

6^{2} - 4 \cdot 1 \cdot (- 3) = 43

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

Separate the solutions

x_{1} = \frac{- 6 + 4 3}{2 \cdot 1}, x_{2} = \frac{- 6 - 4 3}{2 \cdot 1}

x = \frac{- 6 + 4 3}{2 \cdot 1} : - 3 + 23

x = \frac{- 6 - 4 3}{2 \cdot 1} : - 3 - 23

The solutions to the quadratic equation are:

x = - 3 + 23, x = - 3 - 23

2 x^{2} - 1 = x

(x - 1) (2 x - 1) = (x + 1)^{2}

n = x^{2} - 2 x

3 x^{2} - 32 x + 60 = 0

3 k^{2} - k = 0

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