What are the solutions to the equation x^2+10x+22=0 ?

The solutions to the equation x^2+10x+22=0 are x=-5+sqrt(3),x=-5-sqrt(3)

Find the zeros of x^2+10x+22=0

The zeros of x^2+10x+22=0 are x=-5+sqrt(3),x=-5-sqrt(3)

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x^{2} + 10 x + 22 = 0

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

Decimal Notation

x = - 3.26794 \dots, x = - 6.73205 \dots

Solution steps

x^{2} + 10 x + 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 22}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 22 = 23

x_{1, 2} = \frac{- 10 \pm 2 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 2 3}{2 \cdot 1}, x_{2} = \frac{- 10 - 2 3}{2 \cdot 1}

x = \frac{- 10 + 2 3}{2 \cdot 1} : - 5 + 3

x = \frac{- 10 - 2 3}{2 \cdot 1} : - 5 - 3

The solutions to the quadratic equation are:

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

20 x^{2} - 84 x + 72

3^{\frac{7}{2}}

\frac{3}{13}

x + 4 \leq - 2 or + 4 \geq 2

\frac{1}{6} + 3

What are the solutions to the equation x^2+10x+22=0 ?
The solutions to the equation x^2+10x+22=0 are x=-5+sqrt(3),x=-5-sqrt(3)
Find the zeros of x^2+10x+22=0
The zeros of x^2+10x+22=0 are x=-5+sqrt(3),x=-5-sqrt(3)