What are the solutions to the equation x+x^2=30 ?

The solutions to the equation x+x^2=30 are x=5,x=-6

Find the zeros of x+x^2=30

The zeros of x+x^2=30 are x=5,x=-6

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x + x^{2} = 30

x = 5, x = - 6

Solution steps

x + x^{2} = 30

Move

30

to the left side

x + x^{2} - 30 = 0

Write in the standard form

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

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

x^{2} - 20 x + 95 = 0

x^{2} + 23 x - 19 = 9 x - 4

2 m^{2} + 5 m - 3 = 0

x, 2 x^{2} + 2 y^{2} - 8 x - 28 y + 106 = 0

5 x^{2} - 4 x = 1

What are the solutions to the equation x+x^2=30 ?
The solutions to the equation x+x^2=30 are x=5,x=-6
Find the zeros of x+x^2=30
The zeros of x+x^2=30 are x=5,x=-6