Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
f1=3−5,f2=3+5
Alternative Form
f1≈0.763932,f2≈5.236068
Evaluate
f2−6f+4=0
Substitute a=1,b=−6 and c=4 into the quadratic formula f=2a−b±b2−4ac
f=26±(−6)2−4×4
Simplify the expression
More Steps
Evaluate
(−6)2−4×4
Multiply the numbers
(−6)2−16
Rewrite the expression
62−16
Evaluate the power
36−16
Subtract the numbers
20
f=26±20
Simplify the radical expression
More Steps
Evaluate
20
Write the expression as a product where the root of one of the factors can be evaluated
4×5
Write the number in exponential form with the base of 2
22×5
The root of a product is equal to the product of the roots of each factor
22×5
Reduce the index of the radical and exponent with 2
25
f=26±25
Separate the equation into 2 possible cases
f=26+25f=26−25
Simplify the expression
More Steps
Evaluate
f=26+25
Divide the terms
More Steps
Evaluate
26+25
Rewrite the expression
22(3+5)
Reduce the fraction
3+5
f=3+5
f=3+5f=26−25
Simplify the expression
More Steps
Evaluate
f=26−25
Divide the terms
More Steps
Evaluate
26−25
Rewrite the expression
22(3−5)
Reduce the fraction
3−5
f=3−5
f=3+5f=3−5
Solution
f1=3−5,f2=3+5
Alternative Form
f1≈0.763932,f2≈5.236068
Show Solution