Question
Solve the equation
r1=−430,r2=430
Alternative Form
r1≈−2.340347,r2≈2.340347
Evaluate
2r2×r2=60
Multiply
More Steps

Evaluate
2r2×r2
Multiply the terms with the same base by adding their exponents
2r2+2
Add the numbers
2r4
2r4=60
Divide both sides
22r4=260
Divide the numbers
r4=260
Divide the numbers
More Steps

Evaluate
260
Reduce the numbers
130
Calculate
30
r4=30
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±430
Separate the equation into 2 possible cases
r=430r=−430
Solution
r1=−430,r2=430
Alternative Form
r1≈−2.340347,r2≈2.340347
Show Solution

Rewrite the equation
x4+2x2y2+y4=30
Evaluate
2r2×r2=60
Evaluate
More Steps

Evaluate
2r2×r2
Multiply the terms with the same base by adding their exponents
2r2+2
Add the numbers
2r4
2r4=60
Divide both sides of the equation by 2
r4=30
To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2
(x2+y2)2=30
Solution
x4+2x2y2+y4=30
Show Solution
