What are the solutions to the equation 4x^2+7x+9=0 ?

The solutions to the equation 4x^2+7x+9=0 are x=-7/8+i(sqrt(95))/8 ,x=-7/8-i(sqrt(95))/8

Find the zeros of 4x^2+7x+9=0

The zeros of 4x^2+7x+9=0 are x=-7/8+i(sqrt(95))/8 ,x=-7/8-i(sqrt(95))/8

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4 x^{2} + 7 x + 9 = 0

x = - \frac{7}{8} + i \frac{95}{8}, x = - \frac{7}{8} - i \frac{95}{8}

Solution steps

4 x^{2} + 7 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 4 \cdot 9}{2 \cdot 4}

Simplify

7^{2} - 4 \cdot 4 \cdot 9 : 95 i

x_{1, 2} = \frac{- 7 \pm 95 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 7 + 95 i}{2 \cdot 4}, x_{2} = \frac{- 7 - 95 i}{2 \cdot 4}

x = \frac{- 7 + 95 i}{2 \cdot 4} : - \frac{7}{8} + i \frac{95}{8}

x = \frac{- 7 - 95 i}{2 \cdot 4} : - \frac{7}{8} - i \frac{95}{8}

The solutions to the quadratic equation are:

x = - \frac{7}{8} + i \frac{95}{8}, x = - \frac{7}{8} - i \frac{95}{8}

(2) - x^{(2)} = 4

x^{2} = 4 (x + 3)

λ + λ^{2} - 2 = 0

24 = y^{2}

64 = 4 x^{2}

What are the solutions to the equation 4x^2+7x+9=0 ?
The solutions to the equation 4x^2+7x+9=0 are x=-7/8+i(sqrt(95))/8 ,x=-7/8-i(sqrt(95))/8
Find the zeros of 4x^2+7x+9=0
The zeros of 4x^2+7x+9=0 are x=-7/8+i(sqrt(95))/8 ,x=-7/8-i(sqrt(95))/8