Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(x2+4)
Evaluate
−x2−4
Solution
−(x2+4)
Show Solution
Find the roots
x1=−2i,x2=2i
Evaluate
−x2−4
To find the roots of the expression,set the expression equal to 0
−x2−4=0
Move the constant to the right-hand side and change its sign
−x2=0+4
Removing 0 doesn't change the value,so remove it from the expression
−x2=4
Change the signs on both sides of the equation
x2=−4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−4
Simplify the expression
More Steps
Evaluate
−4
Evaluate the power
4×−1
Evaluate the power
4×i
Evaluate the square root
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
2i
x=±2i
Separate the equation into 2 possible cases
x=2ix=−2i
Solution
x1=−2i,x2=2i
Show Solution