What are the solutions to the equation 900=w(2w-5) ?

The solutions to the equation 900=w(2w-5) are w= 45/2 ,w=-20

Find the zeros of 900=w(2w-5)

The zeros of 900=w(2w-5) are w= 45/2 ,w=-20

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900 = w (2 w - 5)

w = \frac{45}{2}, w = - 20

Decimal Notation

w = 22.5, w = - 20

Solution steps

900 = w (2 w - 5)

Expand

w (2 w - 5) : 2 w^{2} - 5 w

900 = 2 w^{2} - 5 w

Switch sides

2 w^{2} - 5 w = 900

Move

900

to the left side

2 w^{2} - 5 w - 900 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 2 ( - 900 )}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 (- 900) = 85

w_{1, 2} = \frac{- ( - 5 ) \pm 85}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- ( - 5 ) + 85}{2 \cdot 2}, w_{2} = \frac{- ( - 5 ) - 85}{2 \cdot 2}

w = \frac{- ( - 5 ) + 85}{2 \cdot 2} : \frac{45}{2}

w = \frac{- ( - 5 ) - 85}{2 \cdot 2} : - 20

The solutions to the quadratic equation are:

w = \frac{45}{2}, w = - 20

2 (x - 4)^{2} = 18

x^{2} + 3 x = - \frac{1}{4}

4 x^{2} = 256

0 = 3 x^{2} - 4 x - 5

m^{2} - 5 m + 3 = 0

What are the solutions to the equation 900=w(2w-5) ?
The solutions to the equation 900=w(2w-5) are w= 45/2 ,w=-20
Find the zeros of 900=w(2w-5)
The zeros of 900=w(2w-5) are w= 45/2 ,w=-20