What are the solutions to the equation x^2+6x=14 ?

The solutions to the equation x^2+6x=14 are x=-3+sqrt(23),x=-3-sqrt(23)

Find the zeros of x^2+6x=14

The zeros of x^2+6x=14 are x=-3+sqrt(23),x=-3-sqrt(23)

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x^{2} + 6 x = 14

x = - 3 + 23, x = - 3 - 23

Decimal Notation

x = 1.79583 \dots, x = - 7.79583 \dots

Solution steps

x^{2} + 6 x = 14

Move

14

to the left side

x^{2} + 6 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 14 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 14) = 223

x_{1, 2} = \frac{- 6 \pm 2 23}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 23}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 23}{2 \cdot 1}

x = \frac{- 6 + 2 23}{2 \cdot 1} : - 3 + 23

x = \frac{- 6 - 2 23}{2 \cdot 1} : - 3 - 23

The solutions to the quadratic equation are:

x = - 3 + 23, x = - 3 - 23

14 m^{2} - 12 m = 0

710 = 83 + 0.003 p^{2}

3 r^{2} - 14 r + 8

x^{2} + 1 = 4 x

19 - x = 7 x + 11

What are the solutions to the equation x^2+6x=14 ?
The solutions to the equation x^2+6x=14 are x=-3+sqrt(23),x=-3-sqrt(23)
Find the zeros of x^2+6x=14
The zeros of x^2+6x=14 are x=-3+sqrt(23),x=-3-sqrt(23)