What are the solutions to the equation 8x^2-10x+7=2 ?

The solutions to the equation 8x^2-10x+7=2 are x= 5/8+i(sqrt(15))/8 ,x= 5/8-i(sqrt(15))/8

Find the zeros of 8x^2-10x+7=2

The zeros of 8x^2-10x+7=2 are x= 5/8+i(sqrt(15))/8 ,x= 5/8-i(sqrt(15))/8

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8 x^{2} - 10 x + 7 = 2

x = \frac{5}{8} + i \frac{15}{8}, x = \frac{5}{8} - i \frac{15}{8}

Solution steps

8 x^{2} - 10 x + 7 = 2

Move

2

to the left side

8 x^{2} - 10 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 8 \cdot 5}{2 \cdot 8}

Simplify

(- 10)^{2} - 4 \cdot 8 \cdot 5 : 215 i

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

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 15 i}{2 \cdot 8}, x_{2} = \frac{- ( - 10 ) - 2 15 i}{2 \cdot 8}

x = \frac{- ( - 10 ) + 2 15 i}{2 \cdot 8} : \frac{5}{8} + i \frac{15}{8}

x = \frac{- ( - 10 ) - 2 15 i}{2 \cdot 8} : \frac{5}{8} - i \frac{15}{8}

The solutions to the quadratic equation are:

x = \frac{5}{8} + i \frac{15}{8}, x = \frac{5}{8} - i \frac{15}{8}

5 x^{2} + 6 x = 8

- 3 n^{2} = 12

(2 + x)^{2} = 0

3 (t + 1)^{2} = 9

x, 24 x^{2} y = 66 x y^{2} + 54 x^{2} y^{2}

What are the solutions to the equation 8x^2-10x+7=2 ?
The solutions to the equation 8x^2-10x+7=2 are x= 5/8+i(sqrt(15))/8 ,x= 5/8-i(sqrt(15))/8
Find the zeros of 8x^2-10x+7=2
The zeros of 8x^2-10x+7=2 are x= 5/8+i(sqrt(15))/8 ,x= 5/8-i(sqrt(15))/8