What are the solutions to the equation 7x^2+5x+6=0 ?

The solutions to the equation 7x^2+5x+6=0 are x=-5/14+i(sqrt(143))/(14),x=-5/14-i(sqrt(143))/(14)

Find the zeros of 7x^2+5x+6=0

The zeros of 7x^2+5x+6=0 are x=-5/14+i(sqrt(143))/(14),x=-5/14-i(sqrt(143))/(14)

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7 x^{2} + 5 x + 6 = 0

x = - \frac{5}{14} + i \frac{143}{14}, x = - \frac{5}{14} - i \frac{143}{14}

Solution steps

7 x^{2} + 5 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 7 \cdot 6}{2 \cdot 7}

Simplify

5^{2} - 4 \cdot 7 \cdot 6 : 143 i

x_{1, 2} = \frac{- 5 \pm 143 i}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- 5 + 143 i}{2 \cdot 7}, x_{2} = \frac{- 5 - 143 i}{2 \cdot 7}

x = \frac{- 5 + 143 i}{2 \cdot 7} : - \frac{5}{14} + i \frac{143}{14}

x = \frac{- 5 - 143 i}{2 \cdot 7} : - \frac{5}{14} - i \frac{143}{14}

The solutions to the quadratic equation are:

x = - \frac{5}{14} + i \frac{143}{14}, x = - \frac{5}{14} - i \frac{143}{14}

12 x^{2} = 13 x + 35

X^{2} + 12 X + 36 = 0

20 x^{2} + 3 x - 2 = 0

z^{2} + 3 z = 18

5. 4^{2} + x^{2} = 7. 8^{2}

What are the solutions to the equation 7x^2+5x+6=0 ?
The solutions to the equation 7x^2+5x+6=0 are x=-5/14+i(sqrt(143))/(14),x=-5/14-i(sqrt(143))/(14)
Find the zeros of 7x^2+5x+6=0
The zeros of 7x^2+5x+6=0 are x=-5/14+i(sqrt(143))/(14),x=-5/14-i(sqrt(143))/(14)