What are the solutions to the equation 7x^2-6x+5=-4 ?

The solutions to the equation 7x^2-6x+5=-4 are x= 3/7+i(3sqrt(6))/7 ,x= 3/7-i(3sqrt(6))/7

Find the zeros of 7x^2-6x+5=-4

The zeros of 7x^2-6x+5=-4 are x= 3/7+i(3sqrt(6))/7 ,x= 3/7-i(3sqrt(6))/7

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7 x^{2} - 6 x + 5 = - 4

x = \frac{3}{7} + i \frac{3 6}{7}, x = \frac{3}{7} - i \frac{3 6}{7}

Solution steps

7 x^{2} - 6 x + 5 = - 4

Move

4

to the left side

7 x^{2} - 6 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 7 \cdot 9}{2 \cdot 7}

Simplify

(- 6)^{2} - 4 \cdot 7 \cdot 9 : 66 i

x_{1, 2} = \frac{- ( - 6 ) \pm 6 6 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 6 6 i}{2 \cdot 7}, x_{2} = \frac{- ( - 6 ) - 6 6 i}{2 \cdot 7}

x = \frac{- ( - 6 ) + 6 6 i}{2 \cdot 7} : \frac{3}{7} + i \frac{3 6}{7}

x = \frac{- ( - 6 ) - 6 6 i}{2 \cdot 7} : \frac{3}{7} - i \frac{3 6}{7}

The solutions to the quadratic equation are:

x = \frac{3}{7} + i \frac{3 6}{7}, x = \frac{3}{7} - i \frac{3 6}{7}

36 x^{2} = 9

18 x^{2} + 50 = 0

x^{2} = 23 + 2 x

x, 8 x^{2} + 4 y^{2} + 2 z^{2} - 24 = 0

(4 - x)^{2} = 100

What are the solutions to the equation 7x^2-6x+5=-4 ?
The solutions to the equation 7x^2-6x+5=-4 are x= 3/7+i(3sqrt(6))/7 ,x= 3/7-i(3sqrt(6))/7
Find the zeros of 7x^2-6x+5=-4
The zeros of 7x^2-6x+5=-4 are x= 3/7+i(3sqrt(6))/7 ,x= 3/7-i(3sqrt(6))/7