What are the solutions to the equation w^2+0.11w-0.057=0 ?

The solutions to the equation w^2+0.11w-0.057=0 are w= 19/100 ,w=-3/10

Find the zeros of w^2+0.11w-0.057=0

The zeros of w^2+0.11w-0.057=0 are w= 19/100 ,w=-3/10

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w^{2} + 0.11 w - 0.057 = 0

w = \frac{19}{100}, w = - \frac{3}{10}

Decimal Notation

w = 0.19, w = - 0.3

Solution steps

w^{2} + 0.11 w - 0.057 = 0

Multiply both sides by

1000

1000 w^{2} + 110 w - 57 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 110 \pm 11 0 ^{2} - 4 \cdot 1000 ( - 57 )}{2 \cdot 1000}

11 0^{2} - 4 \cdot 1000 (- 57) = 490

w_{1, 2} = \frac{- 110 \pm 490}{2 \cdot 1000}

Separate the solutions

w_{1} = \frac{- 110 + 490}{2 \cdot 1000}, w_{2} = \frac{- 110 - 490}{2 \cdot 1000}

w = \frac{- 110 + 490}{2 \cdot 1000} : \frac{19}{100}

w = \frac{- 110 - 490}{2 \cdot 1000} : - \frac{3}{10}

The solutions to the quadratic equation are:

w = \frac{19}{100}, w = - \frac{3}{10}

30 > - (5 z + 15) + 10 z

∣ x ∣ + 17 > 20

6 x \geq - 108

\frac{20}{5}

\frac{x - 2}{3} - \frac{x + 3}{6} = \frac{x + 1}{12}

What are the solutions to the equation w^2+0.11w-0.057=0 ?
The solutions to the equation w^2+0.11w-0.057=0 are w= 19/100 ,w=-3/10
Find the zeros of w^2+0.11w-0.057=0
The zeros of w^2+0.11w-0.057=0 are w= 19/100 ,w=-3/10