Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=1−17,x2=1+17
Alternative Form
x1≈−3.123106,x2≈5.123106
Evaluate
x2−2x−16
To find the roots of the expression,set the expression equal to 0
x2−2x−16=0
Substitute a=1,b=−2 and c=−16 into the quadratic formula x=2a−b±b2−4ac
x=22±(−2)2−4(−16)
Simplify the expression
More Steps
Evaluate
(−2)2−4(−16)
Multiply the numbers
More Steps
Evaluate
4(−16)
Multiplying or dividing an odd number of negative terms equals a negative
−4×16
Multiply the numbers
−64
(−2)2−(−64)
Rewrite the expression
22−(−64)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+64
Evaluate the power
4+64
Add the numbers
68
x=22±68
Simplify the radical expression
More Steps
Evaluate
68
Write the expression as a product where the root of one of the factors can be evaluated
4×17
Write the number in exponential form with the base of 2
22×17
The root of a product is equal to the product of the roots of each factor
22×17
Reduce the index of the radical and exponent with 2
217
x=22±217
Separate the equation into 2 possible cases
x=22+217x=22−217
Simplify the expression
More Steps
Evaluate
x=22+217
Divide the terms
More Steps
Evaluate
22+217
Rewrite the expression
22(1+17)
Reduce the fraction
1+17
x=1+17
x=1+17x=22−217
Simplify the expression
More Steps
Evaluate
x=22−217
Divide the terms
More Steps
Evaluate
22−217
Rewrite the expression
22(1−17)
Reduce the fraction
1−17
x=1−17
x=1+17x=1−17
Solution
x1=1−17,x2=1+17
Alternative Form
x1≈−3.123106,x2≈5.123106
Show Solution
