What are the solutions to the equation 3/8 x^2+3x+24=0 ?

The solutions to the equation 3/8 x^2+3x+24=0 are x=-4+4sqrt(3)i,x=-4-4sqrt(3)i

Find the zeros of 3/8 x^2+3x+24=0

The zeros of 3/8 x^2+3x+24=0 are x=-4+4sqrt(3)i,x=-4-4sqrt(3)i

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\frac{3}{8} x^{2} + 3 x + 24 = 0

x = - 4 + 43 i, x = - 4 - 43 i

Solution steps

\frac{3}{8} x^{2} + 3 x + 24 = 0

Multiply both sides by

8

3 x^{2} + 24 x + 192 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 3 \cdot 192}{2 \cdot 3}

Simplify

2 4^{2} - 4 \cdot 3 \cdot 192 : 243 i

x_{1, 2} = \frac{- 24 \pm 24 3 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 24 + 24 3 i}{2 \cdot 3}, x_{2} = \frac{- 24 - 24 3 i}{2 \cdot 3}

x = \frac{- 24 + 24 3 i}{2 \cdot 3} : - 4 + 43 i

x = \frac{- 24 - 24 3 i}{2 \cdot 3} : - 4 - 43 i

The solutions to the quadratic equation are:

x = - 4 + 43 i, x = - 4 - 43 i

x, x^{2} y - x^{2} - y = 0

4 x^{2} - 32 x + 8 = 12

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

x^{2} - 20 x + 4 = 0

5 x^{2} = - x + 1

What are the solutions to the equation 3/8 x^2+3x+24=0 ?
The solutions to the equation 3/8 x^2+3x+24=0 are x=-4+4sqrt(3)i,x=-4-4sqrt(3)i
Find the zeros of 3/8 x^2+3x+24=0
The zeros of 3/8 x^2+3x+24=0 are x=-4+4sqrt(3)i,x=-4-4sqrt(3)i