What are the solutions to the equation x(x+8)=3 ?

The solutions to the equation x(x+8)=3 are x=-4+sqrt(19),x=-4-sqrt(19)

Find the zeros of x(x+8)=3

The zeros of x(x+8)=3 are x=-4+sqrt(19),x=-4-sqrt(19)

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x (x + 8) = 3

x = - 4 + 19, x = - 4 - 19

Decimal Notation

x = 0.35889 \dots, x = - 8.35889 \dots

Solution steps

x (x + 8) = 3

Expand

x (x + 8) : x^{2} + 8 x

x^{2} + 8 x = 3

Move

3

to the left side

x^{2} + 8 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot (- 3) = 219

x_{1, 2} = \frac{- 8 \pm 2 19}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 8 + 2 19}{2 \cdot 1}, x_{2} = \frac{- 8 - 2 19}{2 \cdot 1}

x = \frac{- 8 + 2 19}{2 \cdot 1} : - 4 + 19

x = \frac{- 8 - 2 19}{2 \cdot 1} : - 4 - 19

The solutions to the quadratic equation are:

x = - 4 + 19, x = - 4 - 19

6 x^{2} + x (\frac{5 - 2 x}{3}) + 3 x - 9 = 0

- 5 x^{2} + 250 = 0

4 x^{2} - 9 x - 6 = 0

- 3 x^{2} + 18 x - 27 = 0

3 x^{2} = 5 x - 3

What are the solutions to the equation x(x+8)=3 ?
The solutions to the equation x(x+8)=3 are x=-4+sqrt(19),x=-4-sqrt(19)
Find the zeros of x(x+8)=3
The zeros of x(x+8)=3 are x=-4+sqrt(19),x=-4-sqrt(19)