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

The solutions to the equation 8x^2-7x+3=0 are x= 7/16+i(sqrt(47))/(16),x= 7/16-i(sqrt(47))/(16)

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

The zeros of 8x^2-7x+3=0 are x= 7/16+i(sqrt(47))/(16),x= 7/16-i(sqrt(47))/(16)

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

x = \frac{7}{16} + i \frac{47}{16}, x = \frac{7}{16} - i \frac{47}{16}

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 7)^{2} - 4 \cdot 8 \cdot 3 : 47 i

x_{1, 2} = \frac{- ( - 7 ) \pm 47 i}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 47 i}{2 \cdot 8}, x_{2} = \frac{- ( - 7 ) - 47 i}{2 \cdot 8}

x = \frac{- ( - 7 ) + 47 i}{2 \cdot 8} : \frac{7}{16} + i \frac{47}{16}

x = \frac{- ( - 7 ) - 47 i}{2 \cdot 8} : \frac{7}{16} - i \frac{47}{16}

The solutions to the quadratic equation are:

x = \frac{7}{16} + i \frac{47}{16}, x = \frac{7}{16} - i \frac{47}{16}

5 x^{2} + 30 x + 24 = 64

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x^{2} + 11 x - 276 = 0

9 x^{2} - 121 = 0

What are the solutions to the equation 8x^2-7x+3=0 ?
The solutions to the equation 8x^2-7x+3=0 are x= 7/16+i(sqrt(47))/(16),x= 7/16-i(sqrt(47))/(16)
Find the zeros of 8x^2-7x+3=0
The zeros of 8x^2-7x+3=0 are x= 7/16+i(sqrt(47))/(16),x= 7/16-i(sqrt(47))/(16)