Question
Factor the expression
50(1−3f2)
Evaluate
50−150f2
Solution
50(1−3f2)
Show Solution

Find the roots
f1=−33,f2=33
Alternative Form
f1≈−0.57735,f2≈0.57735
Evaluate
50−150f2
To find the roots of the expression,set the expression equal to 0
50−150f2=0
Move the constant to the right-hand side and change its sign
−150f2=0−50
Removing 0 doesn't change the value,so remove it from the expression
−150f2=−50
Change the signs on both sides of the equation
150f2=50
Divide both sides
150150f2=15050
Divide the numbers
f2=15050
Cancel out the common factor 50
f2=31
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±31
Simplify the expression
More Steps

Evaluate
31
To take a root of a fraction,take the root of the numerator and denominator separately
31
Simplify the radical expression
31
Multiply by the Conjugate
3×33
When a square root of an expression is multiplied by itself,the result is that expression
33
f=±33
Separate the equation into 2 possible cases
f=33f=−33
Solution
f1=−33,f2=33
Alternative Form
f1≈−0.57735,f2≈0.57735
Show Solution
