What are the solutions to the equation 0.03q^2-1.2q+17=0 ?

The solutions to the equation 0.03q^2-1.2q+17=0 are q=20+i(10sqrt(15))/3 ,q=20-i(10sqrt(15))/3

Find the zeros of 0.03q^2-1.2q+17=0

The zeros of 0.03q^2-1.2q+17=0 are q=20+i(10sqrt(15))/3 ,q=20-i(10sqrt(15))/3

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0.03 q^{2} - 1.2 q + 17 = 0

q = 20 + i \frac{10 15}{3}, q = 20 - i \frac{10 15}{3}

Solution steps

0.03 q^{2} - 1.2 q + 17 = 0

Multiply both sides by

100

3 q^{2} - 120 q + 1700 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 120 ) \pm ( - 120 ) ^{2} - 4 \cdot 3 \cdot 1700}{2 \cdot 3}

Simplify

(- 120)^{2} - 4 \cdot 3 \cdot 1700 : 2015 i

q_{1, 2} = \frac{- ( - 120 ) \pm 20 15 i}{2 \cdot 3}

Separate the solutions

q_{1} = \frac{- ( - 120 ) + 20 15 i}{2 \cdot 3}, q_{2} = \frac{- ( - 120 ) - 20 15 i}{2 \cdot 3}

q = \frac{- ( - 120 ) + 20 15 i}{2 \cdot 3} : 20 + i \frac{10 15}{3}

q = \frac{- ( - 120 ) - 20 15 i}{2 \cdot 3} : 20 - i \frac{10 15}{3}

The solutions to the quadratic equation are:

q = 20 + i \frac{10 15}{3}, q = 20 - i \frac{10 15}{3}

2 = (x + 2)^{2}

- 5 x^{2} - 3 x - 1 = 0

(x - 8)^{2} = - 49

m^{2} = 11 m - 30

- 3 x^{2} - 8 x = 11

What are the solutions to the equation 0.03q^2-1.2q+17=0 ?
The solutions to the equation 0.03q^2-1.2q+17=0 are q=20+i(10sqrt(15))/3 ,q=20-i(10sqrt(15))/3
Find the zeros of 0.03q^2-1.2q+17=0
The zeros of 0.03q^2-1.2q+17=0 are q=20+i(10sqrt(15))/3 ,q=20-i(10sqrt(15))/3