What are the solutions to the equation 12x+x^2=-7 ?

The solutions to the equation 12x+x^2=-7 are x=-6+sqrt(29),x=-6-sqrt(29)

Find the zeros of 12x+x^2=-7

The zeros of 12x+x^2=-7 are x=-6+sqrt(29),x=-6-sqrt(29)

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12 x + x^{2} = - 7

x = - 6 + 29, x = - 6 - 29

Decimal Notation

x = - 0.61483 \dots, x = - 11.38516 \dots

Solution steps

12 x + x^{2} = - 7

Move

7

to the left side

12 x + x^{2} + 7 = 0

Write in the standard form

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

x^{2} + 12 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 1 \cdot 7}{2 \cdot 1}

1 2^{2} - 4 \cdot 1 \cdot 7 = 229

x_{1, 2} = \frac{- 12 \pm 2 29}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 12 + 2 29}{2 \cdot 1}, x_{2} = \frac{- 12 - 2 29}{2 \cdot 1}

x = \frac{- 12 + 2 29}{2 \cdot 1} : - 6 + 29

x = \frac{- 12 - 2 29}{2 \cdot 1} : - 6 - 29

The solutions to the quadratic equation are:

x = - 6 + 29, x = - 6 - 29

4 x^{2} - 12 x - 16

(1 - i)^{6}

- \frac{1}{9} (x - 27) + \frac{1}{3} (x + 3) = x + 4

\frac{x - 5}{x + 2} > 0

3 c^{2} - 6 c

What are the solutions to the equation 12x+x^2=-7 ?
The solutions to the equation 12x+x^2=-7 are x=-6+sqrt(29),x=-6-sqrt(29)
Find the zeros of 12x+x^2=-7
The zeros of 12x+x^2=-7 are x=-6+sqrt(29),x=-6-sqrt(29)