Question
Simplify the expression
941d6−349
Evaluate
d×d5×941−349
Solution
More Steps

Evaluate
d×d5×941
Multiply the terms with the same base by adding their exponents
d1+5×941
Add the numbers
d6×941
Use the commutative property to reorder the terms
941d6
941d6−349
Show Solution

Find the roots
d1=−9416349×9415,d2=9416349×9415
Alternative Form
d1≈−0.847629,d2≈0.847629
Evaluate
d×d5×941−349
To find the roots of the expression,set the expression equal to 0
d×d5×941−349=0
Multiply
More Steps

Multiply the terms
d×d5×941
Multiply the terms with the same base by adding their exponents
d1+5×941
Add the numbers
d6×941
Use the commutative property to reorder the terms
941d6
941d6−349=0
Move the constant to the right-hand side and change its sign
941d6=0+349
Removing 0 doesn't change the value,so remove it from the expression
941d6=349
Divide both sides
941941d6=941349
Divide the numbers
d6=941349
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±6941349
Simplify the expression
More Steps

Evaluate
6941349
To take a root of a fraction,take the root of the numerator and denominator separately
69416349
Multiply by the Conjugate
6941×694156349×69415
The product of roots with the same index is equal to the root of the product
6941×694156349×9415
Multiply the numbers
More Steps

Evaluate
6941×69415
The product of roots with the same index is equal to the root of the product
6941×9415
Calculate the product
69416
Reduce the index of the radical and exponent with 6
941
9416349×9415
d=±9416349×9415
Separate the equation into 2 possible cases
d=9416349×9415d=−9416349×9415
Solution
d1=−9416349×9415,d2=9416349×9415
Alternative Form
d1≈−0.847629,d2≈0.847629
Show Solution
