What are the solutions to the equation 3x^2-8x+7=0 ?

The solutions to the equation 3x^2-8x+7=0 are x= 4/3+i(sqrt(5))/3 ,x= 4/3-i(sqrt(5))/3

Find the zeros of 3x^2-8x+7=0

The zeros of 3x^2-8x+7=0 are x= 4/3+i(sqrt(5))/3 ,x= 4/3-i(sqrt(5))/3

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3 x^{2} - 8 x + 7 = 0

x = \frac{4}{3} + i \frac{5}{3}, x = \frac{4}{3} - i \frac{5}{3}

Solution steps

3 x^{2} - 8 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

Simplify

(- 8)^{2} - 4 \cdot 3 \cdot 7 : 25 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 5 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 5 i}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 5 i}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 5 i}{2 \cdot 3} : \frac{4}{3} + i \frac{5}{3}

x = \frac{- ( - 8 ) - 2 5 i}{2 \cdot 3} : \frac{4}{3} - i \frac{5}{3}

The solutions to the quadratic equation are:

x = \frac{4}{3} + i \frac{5}{3}, x = \frac{4}{3} - i \frac{5}{3}

(8 x + 7)^{2} = 27

10 - (4 - x) = 20 + (x - 4)

(\frac{2 x ^{3} y ^{2} z}{3 x ^{4} y z ^{- 2}})^{- 2}

- 4 > x

\frac{\frac{9}{4}}{3}

What are the solutions to the equation 3x^2-8x+7=0 ?
The solutions to the equation 3x^2-8x+7=0 are x= 4/3+i(sqrt(5))/3 ,x= 4/3-i(sqrt(5))/3
Find the zeros of 3x^2-8x+7=0
The zeros of 3x^2-8x+7=0 are x= 4/3+i(sqrt(5))/3 ,x= 4/3-i(sqrt(5))/3