What are the solutions to the equation x*(x+1)=20 ?

The solutions to the equation x*(x+1)=20 are x=4,x=-5

Find the zeros of x*(x+1)=20

The zeros of x*(x+1)=20 are x=4,x=-5

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x \cdot (x + 1) = 20

x = 4, x = - 5

Solution steps

x (x + 1) = 20

Expand

x (x + 1) : x^{2} + x

x^{2} + x = 20

Move

20

to the left side

x^{2} + x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( - 20 )}{2 \cdot 1}

1^{2} - 4 \cdot 1 \cdot (- 20) = 9

x_{1, 2} = \frac{- 1 \pm 9}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 9}{2 \cdot 1}, x_{2} = \frac{- 1 - 9}{2 \cdot 1}

x = \frac{- 1 + 9}{2 \cdot 1} : 4

x = \frac{- 1 - 9}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

x = 4, x = - 5

4 x^{2} = 5 (4 x - 5)

420875.42 x^{2} + 296296.296 x - 750000 = 0

x, x^{2} - 2 x y - 2 y^{2} + 3 x - y - 9 = 0

x, x^{2} + y^{2} + 4 z^{2} = 10

0 = - 16 t^{2} + 16 t + 370

What are the solutions to the equation x*(x+1)=20 ?
The solutions to the equation x*(x+1)=20 are x=4,x=-5
Find the zeros of x*(x+1)=20
The zeros of x*(x+1)=20 are x=4,x=-5