What are the solutions to the equation 3x^2+8x+7=0 ?

The solutions to the equation 3x^2+8x+7=0 are x=-4/3+i(sqrt(5))/3 ,x=-4/3-i(sqrt(5))/3

Find the zeros of 3x^2+8x+7=0

The zeros of 3x^2+8x+7=0 are x=-4/3+i(sqrt(5))/3 ,x=-4/3-i(sqrt(5))/3

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3 x^{2} + 8 x + 7 = 0

x = - \frac{4}{3} + i \frac{5}{3}, x = - \frac{4}{3} - i \frac{5}{3}

Solution steps

3 x^{2} + 8 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

Simplify

8^{2} - 4 \cdot 3 \cdot 7 : 25 i

x_{1, 2} = \frac{- 8 \pm 2 5 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 2 5 i}{2 \cdot 3}, x_{2} = \frac{- 8 - 2 5 i}{2 \cdot 3}

x = \frac{- 8 + 2 5 i}{2 \cdot 3} : - \frac{4}{3} + i \frac{5}{3}

x = \frac{- 8 - 2 5 i}{2 \cdot 3} : - \frac{4}{3} - i \frac{5}{3}

The solutions to the quadratic equation are:

x = - \frac{4}{3} + i \frac{5}{3}, x = - \frac{4}{3} - i \frac{5}{3}

6 f = - 36

16 b^{2} - 8 b + 1

12 = - 18 + 6 b

4 x^{2} - 10 = - 9

26981.75 \cdot \frac{1}{( 1 + 0.16 ) ^{15}}

What are the solutions to the equation 3x^2+8x+7=0 ?
The solutions to the equation 3x^2+8x+7=0 are x=-4/3+i(sqrt(5))/3 ,x=-4/3-i(sqrt(5))/3
Find the zeros of 3x^2+8x+7=0
The zeros of 3x^2+8x+7=0 are x=-4/3+i(sqrt(5))/3 ,x=-4/3-i(sqrt(5))/3