Question
Find the roots
x1=23−57,x2=23+57
Alternative Form
x1≈−2.274917,x2≈5.274917
Evaluate
x2−3x−12
To find the roots of the expression,set the expression equal to 0
x2−3x−12=0
Substitute a=1,b=−3 and c=−12 into the quadratic formula x=2a−b±b2−4ac
x=23±(−3)2−4(−12)
Simplify the expression
More Steps

Evaluate
(−3)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
(−3)2−(−48)
Rewrite the expression
32−(−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
32+48
Evaluate the power
9+48
Add the numbers
57
x=23±57
Separate the equation into 2 possible cases
x=23+57x=23−57
Solution
x1=23−57,x2=23+57
Alternative Form
x1≈−2.274917,x2≈5.274917
Show Solution
