What are the solutions to the equation x(x+10)=-34 ?

The solutions to the equation x(x+10)=-34 are x=-5+3i,x=-5-3i

Find the zeros of x(x+10)=-34

The zeros of x(x+10)=-34 are x=-5+3i,x=-5-3i

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x (x + 10) = - 34

x = - 5 + 3 i, x = - 5 - 3 i

Solution steps

x (x + 10) = - 34

Expand

x (x + 10) : x^{2} + 10 x

x^{2} + 10 x = - 34

Move

34

to the left side

x^{2} + 10 x + 34 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 34}{2 \cdot 1}

Simplify

1 0^{2} - 4 \cdot 1 \cdot 34 : 6 i

x_{1, 2} = \frac{- 10 \pm 6 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 6 i}{2 \cdot 1}, x_{2} = \frac{- 10 - 6 i}{2 \cdot 1}

x = \frac{- 10 + 6 i}{2 \cdot 1} : - 5 + 3 i

x = \frac{- 10 - 6 i}{2 \cdot 1} : - 5 - 3 i

The solutions to the quadratic equation are:

x = - 5 + 3 i, x = - 5 - 3 i

x, a x^{2} + b x + c = o

lo g_{10} (3) (x^{2} - 6) - lo g_{10} (3) (x + 6) = 0

x^{2} + (1 + 2) x + 2 = 0

- 4 x^{2} - 5 x - 3 = 0

X^{2} - 2 X - 2 = 0

What are the solutions to the equation x(x+10)=-34 ?
The solutions to the equation x(x+10)=-34 are x=-5+3i,x=-5-3i
Find the zeros of x(x+10)=-34
The zeros of x(x+10)=-34 are x=-5+3i,x=-5-3i