What are the solutions to the equation x^2+10x+75=0 ?

The solutions to the equation x^2+10x+75=0 are x=-5+5sqrt(2)i,x=-5-5sqrt(2)i

Find the zeros of x^2+10x+75=0

The zeros of x^2+10x+75=0 are x=-5+5sqrt(2)i,x=-5-5sqrt(2)i

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x^{2} + 10 x + 75 = 0

x = - 5 + 52 i, x = - 5 - 52 i

Solution steps

x^{2} + 10 x + 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 75}{2 \cdot 1}

Simplify

1 0^{2} - 4 \cdot 1 \cdot 75 : 102 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - 5 + 52 i, x = - 5 - 52 i

X^{2} - X - 6 = 0

5 x + 3 x \leq 4 - x

2 a^{3} - a^{2} - 36 a - 45

- 4 p = 3 p + 28

x - 21 < 31

What are the solutions to the equation x^2+10x+75=0 ?
The solutions to the equation x^2+10x+75=0 are x=-5+5sqrt(2)i,x=-5-5sqrt(2)i
Find the zeros of x^2+10x+75=0
The zeros of x^2+10x+75=0 are x=-5+5sqrt(2)i,x=-5-5sqrt(2)i