What are the solutions to the equation x^2+10x+20=0 ?

The solutions to the equation x^2+10x+20=0 are x=-5+sqrt(5),x=-5-sqrt(5)

Find the zeros of x^2+10x+20=0

The zeros of x^2+10x+20=0 are x=-5+sqrt(5),x=-5-sqrt(5)

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x^{2} + 10 x + 20 = 0

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

Decimal Notation

x = - 2.76393 \dots, x = - 7.23606 \dots

Solution steps

x^{2} + 10 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 20 = 25

x_{1, 2} = \frac{- 10 \pm 2 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 2 5}{2 \cdot 1}, x_{2} = \frac{- 10 - 2 5}{2 \cdot 1}

x = \frac{- 10 + 2 5}{2 \cdot 1} : - 5 + 5

x = \frac{- 10 - 2 5}{2 \cdot 1} : - 5 - 5

The solutions to the quadratic equation are:

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

20 x^{3} + 44 x^{2} - 17 x - 5

83 \cdot 3

7^{4} \cdot 7^{5}

5 x^{2} + 20 x - 170 = 0

- [9 x - (15 x + 8)] = 8 + (5 x + 4)

What are the solutions to the equation x^2+10x+20=0 ?
The solutions to the equation x^2+10x+20=0 are x=-5+sqrt(5),x=-5-sqrt(5)
Find the zeros of x^2+10x+20=0
The zeros of x^2+10x+20=0 are x=-5+sqrt(5),x=-5-sqrt(5)