Question
Factor the expression
2(9−35f2)
Evaluate
18−70f2
Solution
2(9−35f2)
Show Solution

Find the roots
f1=−35335,f2=35335
Alternative Form
f1≈−0.507093,f2≈0.507093
Evaluate
18−70f2
To find the roots of the expression,set the expression equal to 0
18−70f2=0
Move the constant to the right-hand side and change its sign
−70f2=0−18
Removing 0 doesn't change the value,so remove it from the expression
−70f2=−18
Change the signs on both sides of the equation
70f2=18
Divide both sides
7070f2=7018
Divide the numbers
f2=7018
Cancel out the common factor 2
f2=359
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±359
Simplify the expression
More Steps

Evaluate
359
To take a root of a fraction,take the root of the numerator and denominator separately
359
Simplify the radical expression
More Steps

Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
353
Multiply by the Conjugate
35×35335
When a square root of an expression is multiplied by itself,the result is that expression
35335
f=±35335
Separate the equation into 2 possible cases
f=35335f=−35335
Solution
f1=−35335,f2=35335
Alternative Form
f1≈−0.507093,f2≈0.507093
Show Solution
