Question
Find the roots
x1=25−265,x2=25+265
Alternative Form
x1≈−5.63941,x2≈10.63941
Evaluate
x2−5x−60
To find the roots of the expression,set the expression equal to 0
x2−5x−60=0
Substitute a=1,b=−5 and c=−60 into the quadratic formula x=2a−b±b2−4ac
x=25±(−5)2−4(−60)
Simplify the expression
More Steps

Evaluate
(−5)2−4(−60)
Multiply the numbers
More Steps

Evaluate
4(−60)
Multiplying or dividing an odd number of negative terms equals a negative
−4×60
Multiply the numbers
−240
(−5)2−(−240)
Rewrite the expression
52−(−240)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
52+240
Evaluate the power
25+240
Add the numbers
265
x=25±265
Separate the equation into 2 possible cases
x=25+265x=25−265
Solution
x1=25−265,x2=25+265
Alternative Form
x1≈−5.63941,x2≈10.63941
Show Solution
