Question
Solve the equation
v1=−34675,v2=34675
Alternative Form
v1≈−1.699044,v2≈1.699044
Evaluate
−6v4=−50
Change the signs on both sides of the equation
6v4=50
Divide both sides
66v4=650
Divide the numbers
v4=650
Cancel out the common factor 2
v4=325
Take the root of both sides of the equation and remember to use both positive and negative roots
v=±4325
Simplify the expression
More Steps

Evaluate
4325
To take a root of a fraction,take the root of the numerator and denominator separately
43425
Simplify the radical expression
More Steps

Evaluate
425
Write the number in exponential form with the base of 5
452
Reduce the index of the radical and exponent with 2
5
435
Multiply by the Conjugate
43×4335×433
Simplify
43×4335×427
Multiply the numbers
More Steps

Evaluate
5×427
Use na=mnam to expand the expression
452×427
The product of roots with the same index is equal to the root of the product
452×27
Calculate the product
4675
43×4334675
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
34675
v=±34675
Separate the equation into 2 possible cases
v=34675v=−34675
Solution
v1=−34675,v2=34675
Alternative Form
v1≈−1.699044,v2≈1.699044
Show Solution
