Question
Find the roots
x1=23−13,x2=23+13
Alternative Form
x1≈−0.302776,x2≈3.302776
Evaluate
x2−3x−1
To find the roots of the expression,set the expression equal to 0
x2−3x−1=0
Substitute a=1,b=−3 and c=−1 into the quadratic formula x=2a−b±b2−4ac
x=23±(−3)2−4(−1)
Simplify the expression
More Steps

Evaluate
(−3)2−4(−1)
Simplify
(−3)2−(−4)
Rewrite the expression
32−(−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
32+4
Evaluate the power
9+4
Add the numbers
13
x=23±13
Separate the equation into 2 possible cases
x=23+13x=23−13
Solution
x1=23−13,x2=23+13
Alternative Form
x1≈−0.302776,x2≈3.302776
Show Solution
