What are the solutions to the equation x+x^2=6 ?

The solutions to the equation x+x^2=6 are x=2,x=-3

Find the zeros of x+x^2=6

The zeros of x+x^2=6 are x=2,x=-3

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x + x^{2} = 6

x = 2, x = - 3

Solution steps

x + x^{2} = 6

Move

6

to the left side

x + x^{2} - 6 = 0

Write in the standard form

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

x^{2} + x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( - 6 )}{2 \cdot 1}

1^{2} - 4 \cdot 1 \cdot (- 6) = 5

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

Separate the solutions

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

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

x = \frac{- 1 - 5}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

x = 2, x = - 3

25 d^{2} - 60 d + 36 = 0

x, x^{2} - 3 x = 0

8 w^{2} + 13 w + 4 = 3 w^{2}

x^{2} + b x + 1 = 0

4 x - 4 = x^{2}

What are the solutions to the equation x+x^2=6 ?
The solutions to the equation x+x^2=6 are x=2,x=-3
Find the zeros of x+x^2=6
The zeros of x+x^2=6 are x=2,x=-3