What are the solutions to the equation 4x^2-x+7=0 ?

The solutions to the equation 4x^2-x+7=0 are x= 1/8+i(sqrt(111))/8 ,x= 1/8-i(sqrt(111))/8

Find the zeros of 4x^2-x+7=0

The zeros of 4x^2-x+7=0 are x= 1/8+i(sqrt(111))/8 ,x= 1/8-i(sqrt(111))/8

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4 x^{2} - x + 7 = 0

x = \frac{1}{8} + i \frac{111}{8}, x = \frac{1}{8} - i \frac{111}{8}

Solution steps

4 x^{2} - x + 7 = 0

Solve with the quadratic formula

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

Simplify

(- 1)^{2} - 4 \cdot 4 \cdot 7 : 111 i

x_{1, 2} = \frac{- ( - 1 ) \pm 111 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 111 i}{2 \cdot 4}, x_{2} = \frac{- ( - 1 ) - 111 i}{2 \cdot 4}

x = \frac{- ( - 1 ) + 111 i}{2 \cdot 4} : \frac{1}{8} + i \frac{111}{8}

x = \frac{- ( - 1 ) - 111 i}{2 \cdot 4} : \frac{1}{8} - i \frac{111}{8}

The solutions to the quadratic equation are:

x = \frac{1}{8} + i \frac{111}{8}, x = \frac{1}{8} - i \frac{111}{8}

5 k^{2} + 19 k + 11 = 2 k

3 (3 x - 4)^{2} - 15 = 30

n = 5 (a - 3 h^{2})

5^{2} = 4^{2} + x^{2}

r^{2} + r + 2 = 0

What are the solutions to the equation 4x^2-x+7=0 ?
The solutions to the equation 4x^2-x+7=0 are x= 1/8+i(sqrt(111))/8 ,x= 1/8-i(sqrt(111))/8
Find the zeros of 4x^2-x+7=0
The zeros of 4x^2-x+7=0 are x= 1/8+i(sqrt(111))/8 ,x= 1/8-i(sqrt(111))/8