What are the solutions to the equation x(x+6)+4=0 ?

The solutions to the equation x(x+6)+4=0 are x=-3+sqrt(5),x=-3-sqrt(5)

Find the zeros of x(x+6)+4=0

The zeros of x(x+6)+4=0 are x=-3+sqrt(5),x=-3-sqrt(5)

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x (x + 6) + 4 = 0

x = - 3 + 5, x = - 3 - 5

Decimal Notation

x = - 0.76393 \dots, x = - 5.23606 \dots

Solution steps

x (x + 6) + 4 = 0

Expand

x (x + 6) + 4 : x^{2} + 6 x + 4

x^{2} + 6 x + 4 = 0

Solve with the quadratic formula

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

6^{2} - 4 \cdot 1 \cdot 4 = 25

x_{1, 2} = \frac{- 6 \pm 2 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 5}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 5}{2 \cdot 1}

x = \frac{- 6 + 2 5}{2 \cdot 1} : - 3 + 5

x = \frac{- 6 - 2 5}{2 \cdot 1} : - 3 - 5

The solutions to the quadratic equation are:

x = - 3 + 5, x = - 3 - 5

x^{2} + 16 x - 14 = 0

4 x^{2} + 9 x = - 5

4 x^{2} + 9 x = - 2

a, (a - b) (a + b) = b (a - b)

y, - 2 x^{2} y + y^{2} = 1

What are the solutions to the equation x(x+6)+4=0 ?
The solutions to the equation x(x+6)+4=0 are x=-3+sqrt(5),x=-3-sqrt(5)
Find the zeros of x(x+6)+4=0
The zeros of x(x+6)+4=0 are x=-3+sqrt(5),x=-3-sqrt(5)