Question
Find the roots
x1=25−57,x2=25+57
Alternative Form
x1≈−1.274917,x2≈6.274917
Evaluate
x2−5x−8
To find the roots of the expression,set the expression equal to 0
x2−5x−8=0
Substitute a=1,b=−5 and c=−8 into the quadratic formula x=2a−b±b2−4ac
x=25±(−5)2−4(−8)
Simplify the expression
More Steps

Evaluate
(−5)2−4(−8)
Multiply the numbers
More Steps

Evaluate
4(−8)
Multiplying or dividing an odd number of negative terms equals a negative
−4×8
Multiply the numbers
−32
(−5)2−(−32)
Rewrite the expression
52−(−32)
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+32
Evaluate the power
25+32
Add the numbers
57
x=25±57
Separate the equation into 2 possible cases
x=25+57x=25−57
Solution
x1=25−57,x2=25+57
Alternative Form
x1≈−1.274917,x2≈6.274917
Show Solution
