What are the solutions to the equation 2W^2+3W-54=0 ?

The solutions to the equation 2W^2+3W-54=0 are W= 9/2 ,W=-6

Find the zeros of 2W^2+3W-54=0

The zeros of 2W^2+3W-54=0 are W= 9/2 ,W=-6

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2 W^{2} + 3 W - 54 = 0

W = \frac{9}{2}, W = - 6

Decimal Notation

W = 4.5, W = - 6

Solution steps

2 W^{2} + 3 W - 54 = 0

Solve with the quadratic formula

W_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 54 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 54) = 21

W_{1, 2} = \frac{- 3 \pm 21}{2 \cdot 2}

Separate the solutions

W_{1} = \frac{- 3 + 21}{2 \cdot 2}, W_{2} = \frac{- 3 - 21}{2 \cdot 2}

W = \frac{- 3 + 21}{2 \cdot 2} : \frac{9}{2}

W = \frac{- 3 - 21}{2 \cdot 2} : - 6

The solutions to the quadratic equation are:

W = \frac{9}{2}, W = - 6

k^{2} + 10 k + 15 = 0

s^{2} + 6 s + 25

35 x^{2} + 17 x = - 2

x^{2} + 18 x + 81 = 0

x^{2} + 18 x - 21 = 0

What are the solutions to the equation 2W^2+3W-54=0 ?
The solutions to the equation 2W^2+3W-54=0 are W= 9/2 ,W=-6
Find the zeros of 2W^2+3W-54=0
The zeros of 2W^2+3W-54=0 are W= 9/2 ,W=-6