What are the solutions to the equation 4x^2+5x+11=0 ?

The solutions to the equation 4x^2+5x+11=0 are x=-5/8+i(sqrt(151))/8 ,x=-5/8-i(sqrt(151))/8

Find the zeros of 4x^2+5x+11=0

The zeros of 4x^2+5x+11=0 are x=-5/8+i(sqrt(151))/8 ,x=-5/8-i(sqrt(151))/8

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4 x^{2} + 5 x + 11 = 0

x = - \frac{5}{8} + i \frac{151}{8}, x = - \frac{5}{8} - i \frac{151}{8}

Solution steps

4 x^{2} + 5 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 \cdot 11}{2 \cdot 4}

Simplify

5^{2} - 4 \cdot 4 \cdot 11 : 151 i

x_{1, 2} = \frac{- 5 \pm 151 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 5 + 151 i}{2 \cdot 4}, x_{2} = \frac{- 5 - 151 i}{2 \cdot 4}

x = \frac{- 5 + 151 i}{2 \cdot 4} : - \frac{5}{8} + i \frac{151}{8}

x = \frac{- 5 - 151 i}{2 \cdot 4} : - \frac{5}{8} - i \frac{151}{8}

The solutions to the quadratic equation are:

x = - \frac{5}{8} + i \frac{151}{8}, x = - \frac{5}{8} - i \frac{151}{8}

\frac{1}{x - 1} - \frac{3 x + 3}{x ^{2} + x - 2} + \frac{1}{x + 2}

11 + 3 (- 8 + 5 x) < 16 x - 5

- 2 (1 - 4 x) = 3 x + 8

28 - 7 x^{2}

6 x^{2} - 2 x - 2

What are the solutions to the equation 4x^2+5x+11=0 ?
The solutions to the equation 4x^2+5x+11=0 are x=-5/8+i(sqrt(151))/8 ,x=-5/8-i(sqrt(151))/8
Find the zeros of 4x^2+5x+11=0
The zeros of 4x^2+5x+11=0 are x=-5/8+i(sqrt(151))/8 ,x=-5/8-i(sqrt(151))/8