Question
Simplify the expression
−225−b2
Evaluate
b−204−b−21−b2
The sum of two opposites equals 0
More Steps

Evaluate
b−b
Collect like terms
(1−1)b
Add the coefficients
0×b
Calculate
0
0−204−21−b2
Remove 0
−204−21−b2
Solution
−225−b2
Show Solution

Find the roots
b1=−15i,b2=15i
Evaluate
b−204−b−21−b2
To find the roots of the expression,set the expression equal to 0
b−204−b−21−b2=0
Subtract the terms
More Steps

Simplify
b−204−b
The sum of two opposites equals 0
More Steps

Evaluate
b−b
Collect like terms
(1−1)b
Add the coefficients
0×b
Calculate
0
0−204
Remove 0
−204
−204−21−b2=0
Subtract the numbers
−225−b2=0
Move the constant to the right-hand side and change its sign
−b2=0+225
Removing 0 doesn't change the value,so remove it from the expression
−b2=225
Change the signs on both sides of the equation
b2=−225
Take the root of both sides of the equation and remember to use both positive and negative roots
b=±−225
Simplify the expression
More Steps

Evaluate
−225
Evaluate the power
225×−1
Evaluate the power
225×i
Evaluate the square root
More Steps

Evaluate
225
Write the number in exponential form with the base of 15
152
Reduce the index of the radical and exponent with 2
15
15i
b=±15i
Separate the equation into 2 possible cases
b=15ib=−15i
Solution
b1=−15i,b2=15i
Show Solution
