What are the solutions to the equation 10x^2+4x+77=9 ?

The solutions to the equation 10x^2+4x+77=9 are x=-1/5+i 13/5 ,x=-1/5-i 13/5

Find the zeros of 10x^2+4x+77=9

The zeros of 10x^2+4x+77=9 are x=-1/5+i 13/5 ,x=-1/5-i 13/5

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10 x^{2} + 4 x + 77 = 9

x = - \frac{1}{5} + i \frac{13}{5}, x = - \frac{1}{5} - i \frac{13}{5}

Solution steps

10 x^{2} + 4 x + 77 = 9

Move

9

to the left side

10 x^{2} + 4 x + 68 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 10 \cdot 68}{2 \cdot 10}

Simplify

4^{2} - 4 \cdot 10 \cdot 68 : 52 i

x_{1, 2} = \frac{- 4 \pm 52 i}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 4 + 52 i}{2 \cdot 10}, x_{2} = \frac{- 4 - 52 i}{2 \cdot 10}

x = \frac{- 4 + 52 i}{2 \cdot 10} : - \frac{1}{5} + i \frac{13}{5}

x = \frac{- 4 - 52 i}{2 \cdot 10} : - \frac{1}{5} - i \frac{13}{5}

The solutions to the quadratic equation are:

x = - \frac{1}{5} + i \frac{13}{5}, x = - \frac{1}{5} - i \frac{13}{5}

0 = (x - 11) (x - 1)

x^{2} - 12 x + 37

a^{2} + 12 a + 27 = 0

3 x^{2} - 7 = 7 x - 1

x^{2} + 16 x + 51 = 0

What are the solutions to the equation 10x^2+4x+77=9 ?
The solutions to the equation 10x^2+4x+77=9 are x=-1/5+i 13/5 ,x=-1/5-i 13/5
Find the zeros of 10x^2+4x+77=9
The zeros of 10x^2+4x+77=9 are x=-1/5+i 13/5 ,x=-1/5-i 13/5