Question
Solve the equation
r1=−250651×2505,r2=250651×2505
Alternative Form
r1≈−0.767253,r2≈0.767253
Evaluate
867=4250r6
Swap the sides of the equation
4250r6=867
Divide both sides
42504250r6=4250867
Divide the numbers
r6=4250867
Cancel out the common factor 17
r6=25051
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±625051
Simplify the expression
More Steps

Evaluate
625051
To take a root of a fraction,take the root of the numerator and denominator separately
6250651
Multiply by the Conjugate
6250×62505651×62505
The product of roots with the same index is equal to the root of the product
6250×62505651×2505
Multiply the numbers
More Steps

Evaluate
6250×62505
The product of roots with the same index is equal to the root of the product
6250×2505
Calculate the product
62506
Reduce the index of the radical and exponent with 6
250
250651×2505
r=±250651×2505
Separate the equation into 2 possible cases
r=250651×2505r=−250651×2505
Solution
r1=−250651×2505,r2=250651×2505
Alternative Form
r1≈−0.767253,r2≈0.767253
Show Solution

Rewrite the equation
250x6+750x4y2+750x2y4+250y6=51
Evaluate
867=4250r6
Rewrite the expression
−4250r6=−867
Divide both sides of the equation by −17
250r6=51
To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2
250(x2+y2)3=51
Solution
250x6+750x4y2+750x2y4+250y6=51
Show Solution
