Question
Factor the expression
300(1−2f4)
Evaluate
300−600f4
Solution
300(1−2f4)
Show Solution

Find the roots
f1=−248,f2=248
Alternative Form
f1≈−0.840896,f2≈0.840896
Evaluate
300−600f4
To find the roots of the expression,set the expression equal to 0
300−600f4=0
Move the constant to the right-hand side and change its sign
−600f4=0−300
Removing 0 doesn't change the value,so remove it from the expression
−600f4=−300
Change the signs on both sides of the equation
600f4=300
Divide both sides
600600f4=600300
Divide the numbers
f4=600300
Cancel out the common factor 300
f4=21
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
4241
Simplify the radical expression
421
Multiply by the Conjugate
42×423423
Simplify
42×42348
Multiply the numbers
More Steps

Evaluate
42×423
The product of roots with the same index is equal to the root of the product
42×23
Calculate the product
424
Reduce the index of the radical and exponent with 4
2
248
f=±248
Separate the equation into 2 possible cases
f=248f=−248
Solution
f1=−248,f2=248
Alternative Form
f1≈−0.840896,f2≈0.840896
Show Solution
