Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
8z2−400
Evaluate
z2×8−400
Solution
8z2−400
Show Solution
Factor the expression
8(z2−50)
Evaluate
z2×8−400
Use the commutative property to reorder the terms
8z2−400
Solution
8(z2−50)
Show Solution
Find the roots
z1=−52,z2=52
Alternative Form
z1≈−7.071068,z2≈7.071068
Evaluate
z2×8−400
To find the roots of the expression,set the expression equal to 0
z2×8−400=0
Use the commutative property to reorder the terms
8z2−400=0
Move the constant to the right-hand side and change its sign
8z2=0+400
Removing 0 doesn't change the value,so remove it from the expression
8z2=400
Divide both sides
88z2=8400
Divide the numbers
z2=8400
Divide the numbers
More Steps
Evaluate
8400
Reduce the numbers
150
Calculate
50
z2=50
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±50
Simplify the expression
More Steps
Evaluate
50
Write the expression as a product where the root of one of the factors can be evaluated
25×2
Write the number in exponential form with the base of 5
52×2
The root of a product is equal to the product of the roots of each factor
52×2
Reduce the index of the radical and exponent with 2
52
z=±52
Separate the equation into 2 possible cases
z=52z=−52
Solution
z1=−52,z2=52
Alternative Form
z1≈−7.071068,z2≈7.071068
Show Solution