What are the solutions to the equation 8x^2-15x+10=0 ?

The solutions to the equation 8x^2-15x+10=0 are x= 15/16+i(sqrt(95))/(16),x= 15/16-i(sqrt(95))/(16)

Find the zeros of 8x^2-15x+10=0

The zeros of 8x^2-15x+10=0 are x= 15/16+i(sqrt(95))/(16),x= 15/16-i(sqrt(95))/(16)

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8 x^{2} - 15 x + 10 = 0

x = \frac{15}{16} + i \frac{95}{16}, x = \frac{15}{16} - i \frac{95}{16}

Solution steps

8 x^{2} - 15 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 8 \cdot 10}{2 \cdot 8}

Simplify

(- 15)^{2} - 4 \cdot 8 \cdot 10 : 95 i

x_{1, 2} = \frac{- ( - 15 ) \pm 95 i}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 95 i}{2 \cdot 8}, x_{2} = \frac{- ( - 15 ) - 95 i}{2 \cdot 8}

x = \frac{- ( - 15 ) + 95 i}{2 \cdot 8} : \frac{15}{16} + i \frac{95}{16}

x = \frac{- ( - 15 ) - 95 i}{2 \cdot 8} : \frac{15}{16} - i \frac{95}{16}

The solutions to the quadratic equation are:

x = \frac{15}{16} + i \frac{95}{16}, x = \frac{15}{16} - i \frac{95}{16}

15 + 6 x - 9 x^{2}

x^{2} + 9 = 5

(x + 4)^{2} = 3

x, 4 x^{2} - 4 x y + y^{2} - 8 x + 34 y - 11 = 0

(3 x - 1) (x + 8) = 0

What are the solutions to the equation 8x^2-15x+10=0 ?
The solutions to the equation 8x^2-15x+10=0 are x= 15/16+i(sqrt(95))/(16),x= 15/16-i(sqrt(95))/(16)
Find the zeros of 8x^2-15x+10=0
The zeros of 8x^2-15x+10=0 are x= 15/16+i(sqrt(95))/(16),x= 15/16-i(sqrt(95))/(16)