Question
Solve the equation
y1=−7667228,y2=7667228
Alternative Form
y1≈−0.910948,y2≈0.910948
Evaluate
7y4×y2×7=28
Multiply
More Steps

Evaluate
7y4×y2×7
Multiply the terms
49y4×y2
Multiply the terms with the same base by adding their exponents
49y4+2
Add the numbers
49y6
49y6=28
Divide both sides
4949y6=4928
Divide the numbers
y6=4928
Cancel out the common factor 7
y6=74
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±674
Simplify the expression
More Steps

Evaluate
674
To take a root of a fraction,take the root of the numerator and denominator separately
6764
Simplify the radical expression
More Steps

Evaluate
64
Write the number in exponential form with the base of 2
622
Reduce the index of the radical and exponent with 2
32
6732
Multiply by the Conjugate
67×67532×675
Simplify
67×67532×616807
Multiply the numbers
More Steps

Evaluate
32×616807
Use na=mnam to expand the expression
622×616807
The product of roots with the same index is equal to the root of the product
622×16807
Calculate the product
667228
67×675667228
Multiply the numbers
More Steps

Evaluate
67×675
The product of roots with the same index is equal to the root of the product
67×75
Calculate the product
676
Reduce the index of the radical and exponent with 6
7
7667228
y=±7667228
Separate the equation into 2 possible cases
y=7667228y=−7667228
Solution
y1=−7667228,y2=7667228
Alternative Form
y1≈−0.910948,y2≈0.910948
Show Solution
