What are the solutions to the equation x*(x+1)=30 ?

The solutions to the equation x*(x+1)=30 are x=5,x=-6

Find the zeros of x*(x+1)=30

The zeros of x*(x+1)=30 are x=5,x=-6

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x \cdot (x + 1) = 30

x = 5, x = - 6

Solution steps

x (x + 1) = 30

Expand

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

x^{2} + x = 30

Move

30

to the left side

x^{2} + x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( - 30 )}{2 \cdot 1}

1^{2} - 4 \cdot 1 \cdot (- 30) = 11

x_{1, 2} = \frac{- 1 \pm 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 11}{2 \cdot 1}, x_{2} = \frac{- 1 - 11}{2 \cdot 1}

x = \frac{- 1 + 11}{2 \cdot 1} : 5

x = \frac{- 1 - 11}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

x = 5, x = - 6

7 x^{2} - 20 = 6 x

7 n^{2} + 4 n = 8

v^{2} - 4 v - 5 = 0

x^{2} + 3 x - 18 = 0

x, f (x + 1) = 2 x^{2} + 8

What are the solutions to the equation x*(x+1)=30 ?
The solutions to the equation x*(x+1)=30 are x=5,x=-6
Find the zeros of x*(x+1)=30
The zeros of x*(x+1)=30 are x=5,x=-6