Question
Find the roots
F1=−23,F2=23
Alternative Form
F1≈−0.866025,F2≈0.866025
Evaluate
3−4F2
To find the roots of the expression,set the expression equal to 0
3−4F2=0
Move the constant to the right-hand side and change its sign
−4F2=0−3
Removing 0 doesn't change the value,so remove it from the expression
−4F2=−3
Change the signs on both sides of the equation
4F2=3
Divide both sides
44F2=43
Divide the numbers
F2=43
Take the root of both sides of the equation and remember to use both positive and negative roots
F=±43
Simplify the expression
More Steps

Evaluate
43
To take a root of a fraction,take the root of the numerator and denominator separately
43
Simplify the radical expression
More Steps

Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
23
F=±23
Separate the equation into 2 possible cases
F=23F=−23
Solution
F1=−23,F2=23
Alternative Form
F1≈−0.866025,F2≈0.866025
Show Solution
