Question
Solve the equation
k1=−24152,k2=24152
Alternative Form
k1≈−1.755622,k2≈1.755622
Evaluate
76=8k4
Swap the sides of the equation
8k4=76
Divide both sides
88k4=876
Divide the numbers
k4=876
Cancel out the common factor 4
k4=219
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±4219
Simplify the expression
More Steps

Evaluate
4219
To take a root of a fraction,take the root of the numerator and denominator separately
42419
Multiply by the Conjugate
42×423419×423
Simplify
42×423419×48
Multiply the numbers
More Steps

Evaluate
419×48
The product of roots with the same index is equal to the root of the product
419×8
Calculate the product
4152
42×4234152
Multiply the numbers
More Steps

Evaluate
42×423
The product of roots with the same index is equal to the root of the product
42×23
Calculate the product
424
Reduce the index of the radical and exponent with 4
2
24152
k=±24152
Separate the equation into 2 possible cases
k=24152k=−24152
Solution
k1=−24152,k2=24152
Alternative Form
k1≈−1.755622,k2≈1.755622
Show Solution
