What are the solutions to the equation 3x^2=44x-242 ?

The solutions to the equation 3x^2=44x-242 are x= 22/3+i(11sqrt(2))/3 ,x= 22/3-i(11sqrt(2))/3

Find the zeros of 3x^2=44x-242

The zeros of 3x^2=44x-242 are x= 22/3+i(11sqrt(2))/3 ,x= 22/3-i(11sqrt(2))/3

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3 x^{2} = 44 x - 242

x = \frac{22}{3} + i \frac{11 2}{3}, x = \frac{22}{3} - i \frac{11 2}{3}

Solution steps

3 x^{2} = 44 x - 242

Move

242

to the left side

3 x^{2} + 242 = 44 x

Move

44 x

to the left side

3 x^{2} + 242 - 44 x = 0

Write in the standard form

a x^{2} + b x + c = 0

3 x^{2} - 44 x + 242 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 \cdot 3 \cdot 242}{2 \cdot 3}

Simplify

(- 44)^{2} - 4 \cdot 3 \cdot 242 : 222 i

x_{1, 2} = \frac{- ( - 44 ) \pm 22 2 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 44 ) + 22 2 i}{2 \cdot 3}, x_{2} = \frac{- ( - 44 ) - 22 2 i}{2 \cdot 3}

x = \frac{- ( - 44 ) + 22 2 i}{2 \cdot 3} : \frac{22}{3} + i \frac{11 2}{3}

x = \frac{- ( - 44 ) - 22 2 i}{2 \cdot 3} : \frac{22}{3} - i \frac{11 2}{3}

The solutions to the quadratic equation are:

x = \frac{22}{3} + i \frac{11 2}{3}, x = \frac{22}{3} - i \frac{11 2}{3}

- 192

3 x^{2} - x + 9 = 0

2 p^{2} - 3 p - 2 = 0

2 x^{2} + x + 6 = 7

2500

What are the solutions to the equation 3x^2=44x-242 ?
The solutions to the equation 3x^2=44x-242 are x= 22/3+i(11sqrt(2))/3 ,x= 22/3-i(11sqrt(2))/3
Find the zeros of 3x^2=44x-242
The zeros of 3x^2=44x-242 are x= 22/3+i(11sqrt(2))/3 ,x= 22/3-i(11sqrt(2))/3