Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
t1=8−82,t2=8+82
Alternative Form
t1≈−3.313708,t2≈19.313708
Evaluate
t2−16t−64
To find the roots of the expression,set the expression equal to 0
t2−16t−64=0
Substitute a=1,b=−16 and c=−64 into the quadratic formula t=2a−b±b2−4ac
t=216±(−16)2−4(−64)
Simplify the expression
More Steps
Evaluate
(−16)2−4(−64)
Multiply the numbers
More Steps
Evaluate
4(−64)
Multiplying or dividing an odd number of negative terms equals a negative
−4×64
Multiply the numbers
−256
(−16)2−(−256)
Rewrite the expression
162−(−256)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
162+256
Evaluate the power
256+256
Add the numbers
512
t=216±512
Simplify the radical expression
More Steps
Evaluate
512
Write the expression as a product where the root of one of the factors can be evaluated
256×2
Write the number in exponential form with the base of 16
162×2
The root of a product is equal to the product of the roots of each factor
162×2
Reduce the index of the radical and exponent with 2
162
t=216±162
Separate the equation into 2 possible cases
t=216+162t=216−162
Simplify the expression
More Steps
Evaluate
t=216+162
Divide the terms
More Steps
Evaluate
216+162
Rewrite the expression
22(8+82)
Reduce the fraction
8+82
t=8+82
t=8+82t=216−162
Simplify the expression
More Steps
Evaluate
t=216−162
Divide the terms
More Steps
Evaluate
216−162
Rewrite the expression
22(8−82)
Reduce the fraction
8−82
t=8−82
t=8+82t=8−82
Solution
t1=8−82,t2=8+82
Alternative Form
t1≈−3.313708,t2≈19.313708
Show Solution
