What are the solutions to the equation 4w^2+10w+12=0 ?

The solutions to the equation 4w^2+10w+12=0 are w=-5/4+i(sqrt(23))/4 ,w=-5/4-i(sqrt(23))/4

Find the zeros of 4w^2+10w+12=0

The zeros of 4w^2+10w+12=0 are w=-5/4+i(sqrt(23))/4 ,w=-5/4-i(sqrt(23))/4

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4 w^{2} + 10 w + 12 = 0

w = - \frac{5}{4} + i \frac{23}{4}, w = - \frac{5}{4} - i \frac{23}{4}

Solution steps

4 w^{2} + 10 w + 12 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 4 \cdot 12}{2 \cdot 4}

Simplify

1 0^{2} - 4 \cdot 4 \cdot 12 : 223 i

w_{1, 2} = \frac{- 10 \pm 2 23 i}{2 \cdot 4}

Separate the solutions

w_{1} = \frac{- 10 + 2 23 i}{2 \cdot 4}, w_{2} = \frac{- 10 - 2 23 i}{2 \cdot 4}

w = \frac{- 10 + 2 23 i}{2 \cdot 4} : - \frac{5}{4} + i \frac{23}{4}

w = \frac{- 10 - 2 23 i}{2 \cdot 4} : - \frac{5}{4} - i \frac{23}{4}

The solutions to the quadratic equation are:

w = - \frac{5}{4} + i \frac{23}{4}, w = - \frac{5}{4} - i \frac{23}{4}

6 x^{2} + 48 x + 207 = 15

- 9 x^{2} + 81 = 0

2 r^{2} - 8 r = - 64

x^{2} + 5 x + 4

x^{2} + 5 x + 7

What are the solutions to the equation 4w^2+10w+12=0 ?
The solutions to the equation 4w^2+10w+12=0 are w=-5/4+i(sqrt(23))/4 ,w=-5/4-i(sqrt(23))/4
Find the zeros of 4w^2+10w+12=0
The zeros of 4w^2+10w+12=0 are w=-5/4+i(sqrt(23))/4 ,w=-5/4-i(sqrt(23))/4