What are the solutions to the equation x(x+5)=10 ?

The solutions to the equation x(x+5)=10 are x=(-5+sqrt(65))/2 ,x=(-5-sqrt(65))/2

Find the zeros of x(x+5)=10

The zeros of x(x+5)=10 are x=(-5+sqrt(65))/2 ,x=(-5-sqrt(65))/2

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x (x + 5) = 10

x = \frac{- 5 + 65}{2}, x = \frac{- 5 - 65}{2}

Solution steps

x (x + 5) = 10

Expand

x (x + 5) : x^{2} + 5 x

x^{2} + 5 x = 10

Move

10

to the left side

x^{2} + 5 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 10) = 65

x_{1, 2} = \frac{- 5 \pm 65}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 65}{2 \cdot 1}, x_{2} = \frac{- 5 - 65}{2 \cdot 1}

x = \frac{- 5 + 65}{2 \cdot 1} : \frac{- 5 + 65}{2}

x = \frac{- 5 - 65}{2 \cdot 1} : \frac{- 5 - 65}{2}

The solutions to the quadratic equation are:

x = \frac{- 5 + 65}{2}, x = \frac{- 5 - 65}{2}

- x^{2} + 8 x = 12

- x^{2} = - 3 x - 18

x, f = x^{2} + m x + 3

2 0^{2} + b^{2} = 5 2^{2}

(x + 1)^{2} = 13

What are the solutions to the equation x(x+5)=10 ?
The solutions to the equation x(x+5)=10 are x=(-5+sqrt(65))/2 ,x=(-5-sqrt(65))/2
Find the zeros of x(x+5)=10
The zeros of x(x+5)=10 are x=(-5+sqrt(65))/2 ,x=(-5-sqrt(65))/2