Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=−2,x2=2
Evaluate
x2−4
To find the roots of the expression,set the expression equal to 0
x2−4=0
Find the domain
More Steps
Evaluate
x2−4≥0
Move the constant to the right side
x2≥4
Take the 2-th root on both sides of the inequality
x2≥4
Calculate
∣x∣≥2
Separate the inequality into 2 possible cases
x≥2x≤−2
Find the union
x∈(−∞,−2]∪[2,+∞)
x2−4=0,x∈(−∞,−2]∪[2,+∞)
Calculate
x2−4=0
The only way a root could be 0 is when the radicand equals 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
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
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Check if the solution is in the defined range
x=2x=−2,x∈(−∞,−2]∪[2,+∞)
Find the intersection of the solution and the defined range
x=2x=−2
Solution
x1=−2,x2=2
Show Solution
