What are the solutions to the equation 3/4 x^2-1/3 x+3/2 =0 ?

The solutions to the equation 3/4 x^2-1/3 x+3/2 =0 are x= 2/9+i(sqrt(158))/9 ,x= 2/9-i(sqrt(158))/9

Find the zeros of 3/4 x^2-1/3 x+3/2 =0

The zeros of 3/4 x^2-1/3 x+3/2 =0 are x= 2/9+i(sqrt(158))/9 ,x= 2/9-i(sqrt(158))/9

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\frac{3}{4} x^{2} - \frac{1}{3} x + \frac{3}{2} = 0

x = \frac{2}{9} + i \frac{158}{9}, x = \frac{2}{9} - i \frac{158}{9}

Solution steps

\frac{3}{4} x^{2} - \frac{1}{3} x + \frac{3}{2} = 0

Find Least Common Multiplier of

4, 3, 2 : 12

Multiply by LCM=

12

\frac{3}{4} x^{2} \cdot 12 - \frac{1}{3} x \cdot 12 + \frac{3}{2} \cdot 12 = 0 \cdot 12

Simplify

9 x^{2} - 4 x + 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 9 \cdot 18}{2 \cdot 9}

Simplify

(- 4)^{2} - 4 \cdot 9 \cdot 18 : 2158 i

x_{1, 2} = \frac{- ( - 4 ) \pm 2 158 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 2 158 i}{2 \cdot 9}, x_{2} = \frac{- ( - 4 ) - 2 158 i}{2 \cdot 9}

x = \frac{- ( - 4 ) + 2 158 i}{2 \cdot 9} : \frac{2}{9} + i \frac{158}{9}

x = \frac{- ( - 4 ) - 2 158 i}{2 \cdot 9} : \frac{2}{9} - i \frac{158}{9}

The solutions to the quadratic equation are:

x = \frac{2}{9} + i \frac{158}{9}, x = \frac{2}{9} - i \frac{158}{9}

x^{2} + 16 x + 63

∣ 10 - x ∣ > 5

8 x = 16

\frac{1}{2 π \cdot 0.8761 \cdot 1 0 ^{3} \cdot 2.2 \cdot 1 0 ^{- 6}}

\frac{x - 1}{x + 5} > 2

What are the solutions to the equation 3/4 x^2-1/3 x+3/2 =0 ?
The solutions to the equation 3/4 x^2-1/3 x+3/2 =0 are x= 2/9+i(sqrt(158))/9 ,x= 2/9-i(sqrt(158))/9
Find the zeros of 3/4 x^2-1/3 x+3/2 =0
The zeros of 3/4 x^2-1/3 x+3/2 =0 are x= 2/9+i(sqrt(158))/9 ,x= 2/9-i(sqrt(158))/9