What are the solutions to the equation 2w^2+4=-9w ?

The solutions to the equation 2w^2+4=-9w are w=-1/2 ,w=-4

Find the zeros of 2w^2+4=-9w

The zeros of 2w^2+4=-9w are w=-1/2 ,w=-4

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2 w^{2} + 4 = - 9 w

w = - \frac{1}{2}, w = - 4

Decimal Notation

w = - 0.5, w = - 4

Solution steps

2 w^{2} + 4 = - 9 w

Move

9 w

to the left side

2 w^{2} + 4 + 9 w = 0

Write in the standard form

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

2 w^{2} + 9 w + 4 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 2 \cdot 4}{2 \cdot 2}

9^{2} - 4 \cdot 2 \cdot 4 = 7

w_{1, 2} = \frac{- 9 \pm 7}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- 9 + 7}{2 \cdot 2}, w_{2} = \frac{- 9 - 7}{2 \cdot 2}

w = \frac{- 9 + 7}{2 \cdot 2} : - \frac{1}{2}

w = \frac{- 9 - 7}{2 \cdot 2} : - 4

The solutions to the quadratic equation are:

w = - \frac{1}{2}, w = - 4

- 5 - 7 y = - 20 y + 34

2.75 j + 2.25 - 1.5 j + 3

27 \cdot 6

z^{2} + \frac{5}{3} z + \frac{25}{9}

9 x - (- 4 x - 3) = - 88

What are the solutions to the equation 2w^2+4=-9w ?
The solutions to the equation 2w^2+4=-9w are w=-1/2 ,w=-4
Find the zeros of 2w^2+4=-9w
The zeros of 2w^2+4=-9w are w=-1/2 ,w=-4