What are the solutions to the equation 1/30 q^2-3/10 q-0.55=0 ?

The solutions to the equation 1/30 q^2-3/10 q-0.55=0 are q=(9+7sqrt(3))/2 ,q=(9-7sqrt(3))/2

Find the zeros of 1/30 q^2-3/10 q-0.55=0

The zeros of 1/30 q^2-3/10 q-0.55=0 are q=(9+7sqrt(3))/2 ,q=(9-7sqrt(3))/2

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\frac{1}{30} q^{2} - \frac{3}{10} q - 0.55 = 0

q = \frac{9 + 7 3}{2}, q = \frac{9 - 7 3}{2}

Decimal Notation

q = 10.56217 \dots, q = - 1.56217 \dots

Solution steps

\frac{1}{30} q^{2} - \frac{3}{10} q - 0.55 = 0

Multiply both sides by

100

\frac{10}{3} q^{2} - 30 q - 55 = 0

Multiply both sides by

3

10 q^{2} - 90 q - 165 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 90 ) \pm ( - 90 ) ^{2} - 4 \cdot 10 ( - 165 )}{2 \cdot 10}

(- 90)^{2} - 4 \cdot 10 (- 165) = 703

q_{1, 2} = \frac{- ( - 90 ) \pm 70 3}{2 \cdot 10}

Separate the solutions

q_{1} = \frac{- ( - 90 ) + 70 3}{2 \cdot 10}, q_{2} = \frac{- ( - 90 ) - 70 3}{2 \cdot 10}

q = \frac{- ( - 90 ) + 70 3}{2 \cdot 10} : \frac{9 + 7 3}{2}

q = \frac{- ( - 90 ) - 70 3}{2 \cdot 10} : \frac{9 - 7 3}{2}

The solutions to the quadratic equation are:

q = \frac{9 + 7 3}{2}, q = \frac{9 - 7 3}{2}

\frac{3 b - 6}{b ^{2} - 4}

∣ 2 x - 3 ∣ \leq 8

- 3 (x + 2) = 3 x - 3

(x - 6) (x + 3) = 0

- \frac{1}{9} - (- \frac{3}{2})

What are the solutions to the equation 1/30 q^2-3/10 q-0.55=0 ?
The solutions to the equation 1/30 q^2-3/10 q-0.55=0 are q=(9+7sqrt(3))/2 ,q=(9-7sqrt(3))/2
Find the zeros of 1/30 q^2-3/10 q-0.55=0
The zeros of 1/30 q^2-3/10 q-0.55=0 are q=(9+7sqrt(3))/2 ,q=(9-7sqrt(3))/2