What are the solutions to the equation roots x^2+10x+c ?

The solutions to the equation roots x^2+10x+c are x=-5+sqrt(-c+25),x=-sqrt(-c+25)-5

Find the zeros of roots x^2+10x+c

The zeros of roots x^2+10x+c are x=-5+sqrt(-c+25),x=-sqrt(-c+25)-5

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roots

x^{2} + 10 x + c

x = - 5 + - c + 25, x = - - c + 25 - 5

Solution steps

x^{2} + 10 x + c

The roots are the intercepts with the x-axis

(y = 0)

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

Solve with the quadratic formula

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

Simplify

1 0^{2} - 4 \cdot 1 \cdot c : 2 25 - c

x_{1, 2} = \frac{- 10 \pm 2 25 - c}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 2 25 - c}{2 \cdot 1}, x_{2} = \frac{- 10 - 2 25 - c}{2 \cdot 1}

x = \frac{- 10 + 2 25 - c}{2 \cdot 1} : - 5 + - c + 25

x = \frac{- 10 - 2 25 - c}{2 \cdot 1} : - - c + 25 - 5

The solutions to the quadratic equation are:

x = - 5 + - c + 25, x = - - c + 25 - 5

x^{2} - 4 x + 5

c, e = m c^{2}

x^{2} - 2 x + 5

y, x^{2} - x y + y^{2} = 3

x^{2} + 8 x + c

What are the solutions to the equation roots x^2+10x+c ?
The solutions to the equation roots x^2+10x+c are x=-5+sqrt(-c+25),x=-sqrt(-c+25)-5
Find the zeros of roots x^2+10x+c
The zeros of roots x^2+10x+c are x=-5+sqrt(-c+25),x=-sqrt(-c+25)-5