Question
Simplify the expression
42f2−1
Evaluate
f2×42−1
Solution
42f2−1
Show Solution

Find the roots
f1=−4242,f2=4242
Alternative Form
f1≈−0.154303,f2≈0.154303
Evaluate
f2×42−1
To find the roots of the expression,set the expression equal to 0
f2×42−1=0
Use the commutative property to reorder the terms
42f2−1=0
Move the constant to the right-hand side and change its sign
42f2=0+1
Removing 0 doesn't change the value,so remove it from the expression
42f2=1
Divide both sides
4242f2=421
Divide the numbers
f2=421
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±421
Simplify the expression
More Steps

Evaluate
421
To take a root of a fraction,take the root of the numerator and denominator separately
421
Simplify the radical expression
421
Multiply by the Conjugate
42×4242
When a square root of an expression is multiplied by itself,the result is that expression
4242
f=±4242
Separate the equation into 2 possible cases
f=4242f=−4242
Solution
f1=−4242,f2=4242
Alternative Form
f1≈−0.154303,f2≈0.154303
Show Solution
