What are the solutions to the equation 36192=0.5q^2-50q+30000 ?

The solutions to the equation 36192=0.5q^2-50q+30000 are q=172,q=-72

Find the zeros of 36192=0.5q^2-50q+30000

The zeros of 36192=0.5q^2-50q+30000 are q=172,q=-72

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36192 = 0.5 q^{2} - 50 q + 30000

q = 172, q = - 72

Solution steps

36192 = 0.5 q^{2} - 50 q + 30000

Multiply both sides by

10

361920 = 5 q^{2} - 500 q + 300000

Switch sides

5 q^{2} - 500 q + 300000 = 361920

Move

361920

to the left side

5 q^{2} - 500 q - 61920 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 500 ) \pm ( - 500 ) ^{2} - 4 \cdot 5 ( - 61920 )}{2 \cdot 5}

(- 500)^{2} - 4 \cdot 5 (- 61920) = 1220

q_{1, 2} = \frac{- ( - 500 ) \pm 1220}{2 \cdot 5}

Separate the solutions

q_{1} = \frac{- ( - 500 ) + 1220}{2 \cdot 5}, q_{2} = \frac{- ( - 500 ) - 1220}{2 \cdot 5}

q = \frac{- ( - 500 ) + 1220}{2 \cdot 5} : 172

q = \frac{- ( - 500 ) - 1220}{2 \cdot 5} : - 72

The solutions to the quadratic equation are:

q = 172, q = - 72

(3 - x) (2 - x) = 0

9 = (x + 3)^{2}

x^{2} + 4 x + 3 = - (x + 3) (x + 5)

12 x^{2} - 304 x + 1444 = 0

3 x^{2} - 2 x - 5

What are the solutions to the equation 36192=0.5q^2-50q+30000 ?
The solutions to the equation 36192=0.5q^2-50q+30000 are q=172,q=-72
Find the zeros of 36192=0.5q^2-50q+30000
The zeros of 36192=0.5q^2-50q+30000 are q=172,q=-72