What are the solutions to the equation x(x+3)-3=0 ?

The solutions to the equation x(x+3)-3=0 are x=(-3+sqrt(21))/2 ,x=(-3-sqrt(21))/2

Find the zeros of x(x+3)-3=0

The zeros of x(x+3)-3=0 are x=(-3+sqrt(21))/2 ,x=(-3-sqrt(21))/2

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x (x + 3) - 3 = 0

x = \frac{- 3 + 21}{2}, x = \frac{- 3 - 21}{2}

Decimal Notation

x = 0.79128 \dots, x = - 3.79128 \dots

Solution steps

x (x + 3) - 3 = 0

Expand

x (x + 3) - 3 : x^{2} + 3 x - 3

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

Solve with the quadratic formula

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

3^{2} - 4 \cdot 1 \cdot (- 3) = 21

x_{1, 2} = \frac{- 3 \pm 21}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 21}{2 \cdot 1}, x_{2} = \frac{- 3 - 21}{2 \cdot 1}

x = \frac{- 3 + 21}{2 \cdot 1} : \frac{- 3 + 21}{2}

x = \frac{- 3 - 21}{2 \cdot 1} : \frac{- 3 - 21}{2}

The solutions to the quadratic equation are:

x = \frac{- 3 + 21}{2}, x = \frac{- 3 - 21}{2}

a^{2} + 7 a - 8 = 0

b, y^{2} (2 x + b) = b^{2}

3 x^{2} + 6 x - 78 = 0

6 x^{2} - 84 x + 270 = 0

2 y^{2} + 1 = 0

What are the solutions to the equation x(x+3)-3=0 ?
The solutions to the equation x(x+3)-3=0 are x=(-3+sqrt(21))/2 ,x=(-3-sqrt(21))/2
Find the zeros of x(x+3)-3=0
The zeros of x(x+3)-3=0 are x=(-3+sqrt(21))/2 ,x=(-3-sqrt(21))/2