Question
Find the roots
x1=23−17,x2=23+17
Alternative Form
x1≈−0.561553,x2≈3.561553
Evaluate
x2−3x−2
To find the roots of the expression,set the expression equal to 0
x2−3x−2=0
Substitute a=1,b=−3 and c=−2 into the quadratic formula x=2a−b±b2−4ac
x=23±(−3)2−4(−2)
Simplify the expression
More Steps

Evaluate
(−3)2−4(−2)
Multiply the numbers
More Steps

Evaluate
4(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−4×2
Multiply the numbers
−8
(−3)2−(−8)
Rewrite the expression
32−(−8)
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+8
Evaluate the power
9+8
Add the numbers
17
x=23±17
Separate the equation into 2 possible cases
x=23+17x=23−17
Solution
x1=23−17,x2=23+17
Alternative Form
x1≈−0.561553,x2≈3.561553
Show Solution
