What are the solutions to the equation 5x^2+10x+78=8 ?

The solutions to the equation 5x^2+10x+78=8 are x=-1+sqrt(13)i,x=-1-sqrt(13)i

Find the zeros of 5x^2+10x+78=8

The zeros of 5x^2+10x+78=8 are x=-1+sqrt(13)i,x=-1-sqrt(13)i

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5 x^{2} + 10 x + 78 = 8

x = - 1 + 13 i, x = - 1 - 13 i

Solution steps

5 x^{2} + 10 x + 78 = 8

Move

8

to the left side

5 x^{2} + 10 x + 70 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 \cdot 70}{2 \cdot 5}

Simplify

1 0^{2} - 4 \cdot 5 \cdot 70 : 1013 i

x_{1, 2} = \frac{- 10 \pm 10 13 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 10 + 10 13 i}{2 \cdot 5}, x_{2} = \frac{- 10 - 10 13 i}{2 \cdot 5}

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

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

The solutions to the quadratic equation are:

x = - 1 + 13 i, x = - 1 - 13 i

0.5 x^{2} + 0.875 x - 0.0525 = 0

x, x^{2} + 4 x + 16 = 0

x (2 x + 4) + 5 x = - 7

9 x^{2} + 18 x + 82 = 0

2.5 (x + 1)^{2} = 6 x^{2}

What are the solutions to the equation 5x^2+10x+78=8 ?
The solutions to the equation 5x^2+10x+78=8 are x=-1+sqrt(13)i,x=-1-sqrt(13)i
Find the zeros of 5x^2+10x+78=8
The zeros of 5x^2+10x+78=8 are x=-1+sqrt(13)i,x=-1-sqrt(13)i