Question
Solve the equation
m1=−54875,m2=54875
Alternative Form
m1≈−1.087757,m2≈1.087757
Evaluate
14=m4×10
Use the commutative property to reorder the terms
14=10m4
Swap the sides of the equation
10m4=14
Divide both sides
1010m4=1014
Divide the numbers
m4=1014
Cancel out the common factor 2
m4=57
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±457
Simplify the expression
More Steps

Evaluate
457
To take a root of a fraction,take the root of the numerator and denominator separately
4547
Multiply by the Conjugate
45×45347×453
Simplify
45×45347×4125
Multiply the numbers
More Steps

Evaluate
47×4125
The product of roots with the same index is equal to the root of the product
47×125
Calculate the product
4875
45×4534875
Multiply the numbers
More Steps

Evaluate
45×453
The product of roots with the same index is equal to the root of the product
45×53
Calculate the product
454
Reduce the index of the radical and exponent with 4
5
54875
m=±54875
Separate the equation into 2 possible cases
m=54875m=−54875
Solution
m1=−54875,m2=54875
Alternative Form
m1≈−1.087757,m2≈1.087757
Show Solution
