Question
Find the roots
a1=21−5,a2=21+5
Alternative Form
a1≈−0.618034,a2≈1.618034
Evaluate
a2−a−1
To find the roots of the expression,set the expression equal to 0
a2−a−1=0
Substitute a=1,b=−1 and c=−1 into the quadratic formula a=2a−b±b2−4ac
a=21±(−1)2−4(−1)
Simplify the expression
More Steps

Evaluate
(−1)2−4(−1)
Evaluate the power
1−4(−1)
Simplify
1−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+4
Add the numbers
5
a=21±5
Separate the equation into 2 possible cases
a=21+5a=21−5
Solution
a1=21−5,a2=21+5
Alternative Form
a1≈−0.618034,a2≈1.618034
Show Solution
