Question
Find the roots
x1=23−21,x2=23+21
Alternative Form
x1≈−0.791288,x2≈3.791288
Evaluate
x2−3x−3
To find the roots of the expression,set the expression equal to 0
x2−3x−3=0
Substitute a=1,b=−3 and c=−3 into the quadratic formula x=2a−b±b2−4ac
x=23±(−3)2−4(−3)
Simplify the expression
More Steps

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

Evaluate
4(−3)
Multiplying or dividing an odd number of negative terms equals a negative
−4×3
Multiply the numbers
−12
(−3)2−(−12)
Rewrite the expression
32−(−12)
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+12
Evaluate the power
9+12
Add the numbers
21
x=23±21
Separate the equation into 2 possible cases
x=23+21x=23−21
Solution
x1=23−21,x2=23+21
Alternative Form
x1≈−0.791288,x2≈3.791288
Show Solution
