Question
Solve the equation
w1=−14485064,w2=14485064
Alternative Form
w1≈−1.219856,w2≈1.219856
Evaluate
−2w3×7w=−31
Multiply
More Steps

Evaluate
−2w3×7w
Multiply the terms
−14w3×w
Multiply the terms with the same base by adding their exponents
−14w3+1
Add the numbers
−14w4
−14w4=−31
Change the signs on both sides of the equation
14w4=31
Divide both sides
1414w4=1431
Divide the numbers
w4=1431
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±41431
Simplify the expression
More Steps

Evaluate
41431
To take a root of a fraction,take the root of the numerator and denominator separately
414431
Multiply by the Conjugate
414×4143431×4143
Simplify
414×4143431×42744
Multiply the numbers
More Steps

Evaluate
431×42744
The product of roots with the same index is equal to the root of the product
431×2744
Calculate the product
485064
414×4143485064
Multiply the numbers
More Steps

Evaluate
414×4143
The product of roots with the same index is equal to the root of the product
414×143
Calculate the product
4144
Reduce the index of the radical and exponent with 4
14
14485064
w=±14485064
Separate the equation into 2 possible cases
w=14485064w=−14485064
Solution
w1=−14485064,w2=14485064
Alternative Form
w1≈−1.219856,w2≈1.219856
Show Solution
