What are the solutions to the equation 1/6 z^2+4/6 z=2 ?

The solutions to the equation 1/6 z^2+4/6 z=2 are z=2,z=-6

Find the zeros of 1/6 z^2+4/6 z=2

The zeros of 1/6 z^2+4/6 z=2 are z=2,z=-6

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\frac{1}{6} z^{2} + \frac{4}{6} z = 2

z = 2, z = - 6

Solution steps

\frac{1}{6} z^{2} + \frac{4}{6} z = 2

Multiply both sides by

6

z^{2} + 4 z = 12

Move

12

to the left side

z^{2} + 4 z - 12 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( - 12 )}{2 \cdot 1}

4^{2} - 4 \cdot 1 \cdot (- 12) = 8

z_{1, 2} = \frac{- 4 \pm 8}{2 \cdot 1}

Separate the solutions

z_{1} = \frac{- 4 + 8}{2 \cdot 1}, z_{2} = \frac{- 4 - 8}{2 \cdot 1}

z = \frac{- 4 + 8}{2 \cdot 1} : 2

z = \frac{- 4 - 8}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

z = 2, z = - 6

x^{2} - 8 x + 16 = 0

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

289 x^{2} + 378 x + 89 = 0

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

- 2 (x - 3)^{2} + 7 = - 4

What are the solutions to the equation 1/6 z^2+4/6 z=2 ?
The solutions to the equation 1/6 z^2+4/6 z=2 are z=2,z=-6
Find the zeros of 1/6 z^2+4/6 z=2
The zeros of 1/6 z^2+4/6 z=2 are z=2,z=-6