What are the solutions to the equation (2w-3)w=44 ?

The solutions to the equation (2w-3)w=44 are w= 11/2 ,w=-4

Find the zeros of (2w-3)w=44

The zeros of (2w-3)w=44 are w= 11/2 ,w=-4

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(2 w - 3) w = 44

w = \frac{11}{2}, w = - 4

Decimal Notation

w = 5.5, w = - 4

Solution steps

(2 w - 3) w = 44

Expand

(2 w - 3) w : 2 w^{2} - 3 w

2 w^{2} - 3 w = 44

Move

44

to the left side

2 w^{2} - 3 w - 44 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 2 ( - 44 )}{2 \cdot 2}

(- 3)^{2} - 4 \cdot 2 (- 44) = 19

w_{1, 2} = \frac{- ( - 3 ) \pm 19}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- ( - 3 ) + 19}{2 \cdot 2}, w_{2} = \frac{- ( - 3 ) - 19}{2 \cdot 2}

w = \frac{- ( - 3 ) + 19}{2 \cdot 2} : \frac{11}{2}

w = \frac{- ( - 3 ) - 19}{2 \cdot 2} : - 4

The solutions to the quadratic equation are:

w = \frac{11}{2}, w = - 4

x^{2} - b x + 5 = 0

125 a = 5 a^{2}

r^{2} = - 18 r

- 0.5 = - 0.001 x^{2} + 0.06 x + 37.1

- 30 + 13 x + 3 x^{2} = 0

What are the solutions to the equation (2w-3)w=44 ?
The solutions to the equation (2w-3)w=44 are w= 11/2 ,w=-4
Find the zeros of (2w-3)w=44
The zeros of (2w-3)w=44 are w= 11/2 ,w=-4