What are the solutions to the equation 4x^2+24x+37=0 ?

The solutions to the equation 4x^2+24x+37=0 are x=-3+i 1/2 ,x=-3-i 1/2

Find the zeros of 4x^2+24x+37=0

The zeros of 4x^2+24x+37=0 are x=-3+i 1/2 ,x=-3-i 1/2

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4 x^{2} + 24 x + 37 = 0

x = - 3 + i \frac{1}{2}, x = - 3 - i \frac{1}{2}

Solution steps

4 x^{2} + 24 x + 37 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 4 \cdot 37}{2 \cdot 4}

Simplify

2 4^{2} - 4 \cdot 4 \cdot 37 : 4 i

x_{1, 2} = \frac{- 24 \pm 4 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 24 + 4 i}{2 \cdot 4}, x_{2} = \frac{- 24 - 4 i}{2 \cdot 4}

x = \frac{- 24 + 4 i}{2 \cdot 4} : - 3 + i \frac{1}{2}

x = \frac{- 24 - 4 i}{2 \cdot 4} : - 3 - i \frac{1}{2}

The solutions to the quadratic equation are:

x = - 3 + i \frac{1}{2}, x = - 3 - i \frac{1}{2}

x^{2} + x + 16 = 0

6 x^{2} = 2 - x

y, 2 x^{2} y + \frac{x ^{3} - y ^{2}}{x} + 3 = 0

3 x (x - 4) = 0

- 8 - 9 x^{2} = - 170

What are the solutions to the equation 4x^2+24x+37=0 ?
The solutions to the equation 4x^2+24x+37=0 are x=-3+i 1/2 ,x=-3-i 1/2
Find the zeros of 4x^2+24x+37=0
The zeros of 4x^2+24x+37=0 are x=-3+i 1/2 ,x=-3-i 1/2