Question
Find the roots
x1=217−577,x2=217+577
Alternative Form
x1≈−3.510412,x2≈20.510412
Evaluate
x2−17x−72
To find the roots of the expression,set the expression equal to 0
x2−17x−72=0
Substitute a=1,b=−17 and c=−72 into the quadratic formula x=2a−b±b2−4ac
x=217±(−17)2−4(−72)
Simplify the expression
More Steps

Evaluate
(−17)2−4(−72)
Multiply the numbers
More Steps

Evaluate
4(−72)
Multiplying or dividing an odd number of negative terms equals a negative
−4×72
Multiply the numbers
−288
(−17)2−(−288)
Rewrite the expression
172−(−288)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
172+288
Evaluate the power
289+288
Add the numbers
577
x=217±577
Separate the equation into 2 possible cases
x=217+577x=217−577
Solution
x1=217−577,x2=217+577
Alternative Form
x1≈−3.510412,x2≈20.510412
Show Solution
