What are the solutions to the equation 0.02w^2-0.3w=20 ?

The solutions to the equation 0.02w^2-0.3w=20 are w=40,w=-25

Find the zeros of 0.02w^2-0.3w=20

The zeros of 0.02w^2-0.3w=20 are w=40,w=-25

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0.02 w^{2} - 0.3 w = 20

w = 40, w = - 25

Solution steps

0.02 w^{2} - 0.3 w = 20

Multiply both sides by

100

2 w^{2} - 30 w = 2000

Move

2000

to the left side

2 w^{2} - 30 w - 2000 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 2 ( - 2000 )}{2 \cdot 2}

(- 30)^{2} - 4 \cdot 2 (- 2000) = 130

w_{1, 2} = \frac{- ( - 30 ) \pm 130}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- ( - 30 ) + 130}{2 \cdot 2}, w_{2} = \frac{- ( - 30 ) - 130}{2 \cdot 2}

w = \frac{- ( - 30 ) + 130}{2 \cdot 2} : 40

w = \frac{- ( - 30 ) - 130}{2 \cdot 2} : - 25

The solutions to the quadratic equation are:

w = 40, w = - 25

(x - 1)^{2} = 36

d^{2} + 20 = - 300

- 5 (3 x^{2} + 5 x + b) = a x^{2} - 25 x + 45

x^{2} + 10 x - 56 = 0

2 x^{2} = - 5 x + 3

What are the solutions to the equation 0.02w^2-0.3w=20 ?
The solutions to the equation 0.02w^2-0.3w=20 are w=40,w=-25
Find the zeros of 0.02w^2-0.3w=20
The zeros of 0.02w^2-0.3w=20 are w=40,w=-25