What are the solutions to the equation roots x^2+2x+a ?

The solutions to the equation roots x^2+2x+a are x=-1+sqrt(-a+1),x=-sqrt(-a+1)-1

Find the zeros of roots x^2+2x+a

The zeros of roots x^2+2x+a are x=-1+sqrt(-a+1),x=-sqrt(-a+1)-1

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roots

x^{2} + 2 x + a

x = - 1 + - a + 1, x = - - a + 1 - 1

Solution steps

x^{2} + 2 x + a

The roots are the intercepts with the x-axis

(y = 0)

x^{2} + 2 x + a = 0

Solve with the quadratic formula

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

Simplify

2^{2} - 4 \cdot 1 \cdot a : 2 1 - a

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - 1 + - a + 1, x = - - a + 1 - 1

x, x^{2} + y^{2} + z^{2} = 9

x^{2} + 12 x + 20 = 0

4 w^{2} = 4 w + 3

x^{2} + 6 x + 73 = 0

x^{2} + 4 x + c

What are the solutions to the equation roots x^2+2x+a ?
The solutions to the equation roots x^2+2x+a are x=-1+sqrt(-a+1),x=-sqrt(-a+1)-1
Find the zeros of roots x^2+2x+a
The zeros of roots x^2+2x+a are x=-1+sqrt(-a+1),x=-sqrt(-a+1)-1