Question
Simplify the expression
58920−500f2
Evaluate
58920−f2×500
Solution
58920−500f2
Show Solution

Factor the expression
20(2946−25f2)
Evaluate
58920−f2×500
Use the commutative property to reorder the terms
58920−500f2
Solution
20(2946−25f2)
Show Solution

Find the roots
f1=−52946,f2=52946
Alternative Form
f1≈−10.855413,f2≈10.855413
Evaluate
58920−f2×500
To find the roots of the expression,set the expression equal to 0
58920−f2×500=0
Use the commutative property to reorder the terms
58920−500f2=0
Move the constant to the right-hand side and change its sign
−500f2=0−58920
Removing 0 doesn't change the value,so remove it from the expression
−500f2=−58920
Change the signs on both sides of the equation
500f2=58920
Divide both sides
500500f2=50058920
Divide the numbers
f2=50058920
Cancel out the common factor 20
f2=252946
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±252946
Simplify the expression
More Steps

Evaluate
252946
To take a root of a fraction,take the root of the numerator and denominator separately
252946
Simplify the radical expression
More Steps

Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
52946
f=±52946
Separate the equation into 2 possible cases
f=52946f=−52946
Solution
f1=−52946,f2=52946
Alternative Form
f1≈−10.855413,f2≈10.855413
Show Solution
