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

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

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

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

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

q = 172, q = - 72

Solution steps

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

Multiply both sides by

10

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

x, t x^{2} + x = k

b^{2} - \frac{1}{5} b = \frac{4}{5}

(x + 5)^{2} + 31 = 0

x^{2} - 8 x = 39

6 c^{2} + 8 = c

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