What are the solutions to the equation 4x^2+9x+6=0 ?

The solutions to the equation 4x^2+9x+6=0 are x=-9/8+i(sqrt(15))/8 ,x=-9/8-i(sqrt(15))/8

Find the zeros of 4x^2+9x+6=0

The zeros of 4x^2+9x+6=0 are x=-9/8+i(sqrt(15))/8 ,x=-9/8-i(sqrt(15))/8

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4 x^{2} + 9 x + 6 = 0

x = - \frac{9}{8} + i \frac{15}{8}, x = - \frac{9}{8} - i \frac{15}{8}

Solution steps

4 x^{2} + 9 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 4 \cdot 6}{2 \cdot 4}

Simplify

9^{2} - 4 \cdot 4 \cdot 6 : 15 i

x_{1, 2} = \frac{- 9 \pm 15 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 9 + 15 i}{2 \cdot 4}, x_{2} = \frac{- 9 - 15 i}{2 \cdot 4}

x = \frac{- 9 + 15 i}{2 \cdot 4} : - \frac{9}{8} + i \frac{15}{8}

x = \frac{- 9 - 15 i}{2 \cdot 4} : - \frac{9}{8} - i \frac{15}{8}

The solutions to the quadratic equation are:

x = - \frac{9}{8} + i \frac{15}{8}, x = - \frac{9}{8} - i \frac{15}{8}

a^{2} x^{2} - 2 a x - 3 = 0

y (\frac{1 + y}{2 - k}) = a

\frac{( x + 2 ) ^{2}}{5} + \frac{( x + 2 ) ^{2}}{3} = \frac{16}{3}

0.000006 x^{2} - 0.02 x + 25 = 10 - 0.04 x

6 p^{2} - 10 = - 57

What are the solutions to the equation 4x^2+9x+6=0 ?
The solutions to the equation 4x^2+9x+6=0 are x=-9/8+i(sqrt(15))/8 ,x=-9/8-i(sqrt(15))/8
Find the zeros of 4x^2+9x+6=0
The zeros of 4x^2+9x+6=0 are x=-9/8+i(sqrt(15))/8 ,x=-9/8-i(sqrt(15))/8