Question
Simplify the expression
4−88f2
Evaluate
4−82f2−6f2
Solution
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Evaluate
−82f2−6f2
Collect like terms by calculating the sum or difference of their coefficients
(−82−6)f2
Subtract the numbers
−88f2
4−88f2
Show Solution

Factor the expression
4(1−22f2)
Evaluate
4−82f2−6f2
Subtract the terms
More Steps

Evaluate
−82f2−6f2
Collect like terms by calculating the sum or difference of their coefficients
(−82−6)f2
Subtract the numbers
−88f2
4−88f2
Solution
4(1−22f2)
Show Solution

Find the roots
f1=−2222,f2=2222
Alternative Form
f1≈−0.213201,f2≈0.213201
Evaluate
4−82f2−6f2
To find the roots of the expression,set the expression equal to 0
4−82f2−6f2=0
Subtract the terms
More Steps

Simplify
4−82f2−6f2
Subtract the terms
More Steps

Evaluate
−82f2−6f2
Collect like terms by calculating the sum or difference of their coefficients
(−82−6)f2
Subtract the numbers
−88f2
4−88f2
4−88f2=0
Move the constant to the right-hand side and change its sign
−88f2=0−4
Removing 0 doesn't change the value,so remove it from the expression
−88f2=−4
Change the signs on both sides of the equation
88f2=4
Divide both sides
8888f2=884
Divide the numbers
f2=884
Cancel out the common factor 4
f2=221
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±221
Simplify the expression
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Evaluate
221
To take a root of a fraction,take the root of the numerator and denominator separately
221
Simplify the radical expression
221
Multiply by the Conjugate
22×2222
When a square root of an expression is multiplied by itself,the result is that expression
2222
f=±2222
Separate the equation into 2 possible cases
f=2222f=−2222
Solution
f1=−2222,f2=2222
Alternative Form
f1≈−0.213201,f2≈0.213201
Show Solution
