What are the solutions to the equation 4x^2+3x+22=0 ?

The solutions to the equation 4x^2+3x+22=0 are x=-3/8+i(7sqrt(7))/8 ,x=-3/8-i(7sqrt(7))/8

Find the zeros of 4x^2+3x+22=0

The zeros of 4x^2+3x+22=0 are x=-3/8+i(7sqrt(7))/8 ,x=-3/8-i(7sqrt(7))/8

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4 x^{2} + 3 x + 22 = 0

x = - \frac{3}{8} + i \frac{7 7}{8}, x = - \frac{3}{8} - i \frac{7 7}{8}

Solution steps

4 x^{2} + 3 x + 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 4 \cdot 22}{2 \cdot 4}

Simplify

3^{2} - 4 \cdot 4 \cdot 22 : 77 i

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

Separate the solutions

x_{1} = \frac{- 3 + 7 7 i}{2 \cdot 4}, x_{2} = \frac{- 3 - 7 7 i}{2 \cdot 4}

x = \frac{- 3 + 7 7 i}{2 \cdot 4} : - \frac{3}{8} + i \frac{7 7}{8}

x = \frac{- 3 - 7 7 i}{2 \cdot 4} : - \frac{3}{8} - i \frac{7 7}{8}

The solutions to the quadratic equation are:

x = - \frac{3}{8} + i \frac{7 7}{8}, x = - \frac{3}{8} - i \frac{7 7}{8}

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

x^{2} - 25 x + 475 = 0

x^{2} + 3^{3} = 31

(11 x + 13)^{2} - 4 (11 x + 13) - 21 = 0

(5 - x) (2 x + 3) = 0

What are the solutions to the equation 4x^2+3x+22=0 ?
The solutions to the equation 4x^2+3x+22=0 are x=-3/8+i(7sqrt(7))/8 ,x=-3/8-i(7sqrt(7))/8
Find the zeros of 4x^2+3x+22=0
The zeros of 4x^2+3x+22=0 are x=-3/8+i(7sqrt(7))/8 ,x=-3/8-i(7sqrt(7))/8