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

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

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

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

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

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

Solution steps

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

Move

9

to the left side

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

Solve with the quadratic formula

p_{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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x = (3 \cdot 9 \cdot (3 + (\frac{9 \cdot 3}{3})))

16 x^{2} + 9 = 5

6 = 3 t - 3

5 x^{2} + 7 x - 34 = 0

lo g_{3} (\frac{1}{81}) = - 4

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