Question
Find the roots
x1=27−53,x2=27+53
Alternative Form
x1≈−0.140055,x2≈7.140055
Evaluate
x2−7x−1
To find the roots of the expression,set the expression equal to 0
x2−7x−1=0
Substitute a=1,b=−7 and c=−1 into the quadratic formula x=2a−b±b2−4ac
x=27±(−7)2−4(−1)
Simplify the expression
More Steps

Evaluate
(−7)2−4(−1)
Simplify
(−7)2−(−4)
Rewrite the expression
72−(−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
72+4
Evaluate the power
49+4
Add the numbers
53
x=27±53
Separate the equation into 2 possible cases
x=27+53x=27−53
Solution
x1=27−53,x2=27+53
Alternative Form
x1≈−0.140055,x2≈7.140055
Show Solution
