Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4z2−32452
Evaluate
z2×4−12024−20028−400
Use the commutative property to reorder the terms
4z2−12024−20028−400
Solution
4z2−32452
Show Solution
Factor the expression
4(z2−8113)
Evaluate
z2×4−12024−20028−400
Use the commutative property to reorder the terms
4z2−12024−20028−400
Subtract the numbers
4z2−32052−400
Subtract the numbers
4z2−32452
Solution
4(z2−8113)
Show Solution
Find the roots
z1=−8113,z2=8113
Alternative Form
z1≈−90.072193,z2≈90.072193
Evaluate
z2×4−12024−20028−400
To find the roots of the expression,set the expression equal to 0
z2×4−12024−20028−400=0
Use the commutative property to reorder the terms
4z2−12024−20028−400=0
Subtract the numbers
4z2−32052−400=0
Subtract the numbers
4z2−32452=0
Move the constant to the right-hand side and change its sign
4z2=0+32452
Removing 0 doesn't change the value,so remove it from the expression
4z2=32452
Divide both sides
44z2=432452
Divide the numbers
z2=432452
Divide the numbers
More Steps
Evaluate
432452
Reduce the numbers
18113
Calculate
8113
z2=8113
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±8113
Separate the equation into 2 possible cases
z=8113z=−8113
Solution
z1=−8113,z2=8113
Alternative Form
z1≈−90.072193,z2≈90.072193
Show Solution