Question
Find the roots
x1=25−73,x2=25+73
Alternative Form
x1≈−1.772002,x2≈6.772002
Evaluate
x2−5x−12
To find the roots of the expression,set the expression equal to 0
x2−5x−12=0
Substitute a=1,b=−5 and c=−12 into the quadratic formula x=2a−b±b2−4ac
x=25±(−5)2−4(−12)
Simplify the expression
More Steps

Evaluate
(−5)2−4(−12)
Multiply the numbers
More Steps

Evaluate
4(−12)
Multiplying or dividing an odd number of negative terms equals a negative
−4×12
Multiply the numbers
−48
(−5)2−(−48)
Rewrite the expression
52−(−48)
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+48
Evaluate the power
25+48
Add the numbers
73
x=25±73
Separate the equation into 2 possible cases
x=25+73x=25−73
Solution
x1=25−73,x2=25+73
Alternative Form
x1≈−1.772002,x2≈6.772002
Show Solution
