What are the solutions to the equation 3m^2+15m+25.5=0 ?

The solutions to the equation 3m^2+15m+25.5=0 are m=-5/2+i 3/2 ,m=-5/2-i 3/2

Find the zeros of 3m^2+15m+25.5=0

The zeros of 3m^2+15m+25.5=0 are m=-5/2+i 3/2 ,m=-5/2-i 3/2

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3 m^{2} + 15 m + 25.5 = 0

m = - \frac{5}{2} + i \frac{3}{2}, m = - \frac{5}{2} - i \frac{3}{2}

Solution steps

3 m^{2} + 15 m + 25.5 = 0

Multiply both sides by

10

30 m^{2} + 150 m + 255 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 150 \pm 15 0 ^{2} - 4 \cdot 30 \cdot 255}{2 \cdot 30}

Simplify

15 0^{2} - 4 \cdot 30 \cdot 255 : 90 i

m_{1, 2} = \frac{- 150 \pm 90 i}{2 \cdot 30}

Separate the solutions

m_{1} = \frac{- 150 + 90 i}{2 \cdot 30}, m_{2} = \frac{- 150 - 90 i}{2 \cdot 30}

m = \frac{- 150 + 90 i}{2 \cdot 30} : - \frac{5}{2} + i \frac{3}{2}

m = \frac{- 150 - 90 i}{2 \cdot 30} : - \frac{5}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

m = - \frac{5}{2} + i \frac{3}{2}, m = - \frac{5}{2} - i \frac{3}{2}

y, y^{2} + y + 3 x + 1 = 0

y, 3 x^{2} + 3 y^{2} = 0

5 (x^{2} - 8) - 5 = 5

20 x^{2} + 23 x - 7 = 0

0 = - t^{2} + 30 t + 200

What are the solutions to the equation 3m^2+15m+25.5=0 ?
The solutions to the equation 3m^2+15m+25.5=0 are m=-5/2+i 3/2 ,m=-5/2-i 3/2
Find the zeros of 3m^2+15m+25.5=0
The zeros of 3m^2+15m+25.5=0 are m=-5/2+i 3/2 ,m=-5/2-i 3/2