Question
Solve the equation
m1=−2424,m2=2424
Alternative Form
m1≈−1.106682,m2≈1.106682
Evaluate
m4×2=3
Use the commutative property to reorder the terms
2m4=3
Divide both sides
22m4=23
Divide the numbers
m4=23
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±423
Simplify the expression
More Steps

Evaluate
423
To take a root of a fraction,take the root of the numerator and denominator separately
4243
Multiply by the Conjugate
42×42343×423
Simplify
42×42343×48
Multiply the numbers
More Steps

Evaluate
43×48
The product of roots with the same index is equal to the root of the product
43×8
Calculate the product
424
42×423424
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
2424
m=±2424
Separate the equation into 2 possible cases
m=2424m=−2424
Solution
m1=−2424,m2=2424
Alternative Form
m1≈−1.106682,m2≈1.106682
Show Solution
