-5+√-50/10
Solve
the way you typed it ....
-5 + √-50/10
= -5 + 5√2 i/10
= -5 + (√2/2) i
what you probably meant:
(-5 + √-50)/10
= (-5 + 5√2 i)/10
= -1/2 + (√2/2) i
reiny is right that is probaly what you meant to type
To solve the expression -5 + √(-50) / 10, we can break it down into smaller steps:
Step 1: Simplify the square root
√(-50) can be simplified as √(-1 * 5 * 10)
Since we cannot take the square root of a negative number in real numbers, we know that the result will be an imaginary number. In this case, it will be √(-1) * √(5) * √(10)
√(-1) is denoted as "i", so we have i * √(5) * √(10)
Step 2: Simplify the expression
Now we can substitute the simplified square root into the expression:
-5 + (i * √5 * √10) / 10
Step 3: Simplify further
To combine the terms, we can divide each term by the common denominator, which is 10:
-5/10 + (i * √5 * √10) / 10
This simplifies to:
-1/2 + (i * √5 * √10) / 10
So the final simplified expression is:
-1/2 + (i * √5 * √10) / 10