hey guys, quick question
(-8 +- sqrt -20)/-6
what does this equal
and how
looks like the solution to a quadratic equation, which turns out to be a complex number
remember that √-1 = i , so
(-8 +- sqrt -20)/-6
= (-8 ± 2√5 i)/-6
= (4 ± √5 i)/3
To evaluate the expression (-8 ± √-20) / -6, we first need to simplify the square root of -20.
The square root of a negative number is not a real number, but it can be expressed in terms of imaginary numbers. In this case, the square root of -20 can be written as √-20 = √(-1 * 4 * 5) = 2√5i, where i represents the imaginary unit (√-1).
Now, substituting this value back into the original expression, we have (-8 ± 2√5i) / -6.
To continue simplifying, we can factor out a common factor of 2 from the numerator, which gives us 2(-4 ± √5i) / -6.
Next, we can simplify the negative signs by multiplying both the numerator and denominator by -1. This gives us (4 ± √5i) / 3.
Thus, the expression (-8 ± √-20) / -6 simplifies to (4 ± √5i) / 3.