Question
Solve the equation
y1=−2424,y2=0,y3=2424
Alternative Form
y1≈−1.106682,y2=0,y3≈1.106682
Evaluate
21y5−43y=0
Factor the expression
y(21y4−43)=0
Separate the equation into 2 possible cases
y=021y4−43=0
Solve the equation
More Steps

Evaluate
21y4−43=0
Move the constant to the right-hand side and change its sign
21y4=0+43
Add the terms
21y4=43
Multiply by the reciprocal
21y4×2=43×2
Multiply
y4=43×2
Multiply
More Steps

Evaluate
43×2
Reduce the numbers
23×1
Multiply the numbers
23
y4=23
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±423
Simplify the expression
More Steps

Evaluate
423
To take a root of a fraction,take the root of the numerator and denominator separately
4243
Multiply by the Conjugate
42×42343×423
Simplify
42×42343×48
Multiply the numbers
42×423424
Multiply the numbers
2424
y=±2424
Separate the equation into 2 possible cases
y=2424y=−2424
y=0y=2424y=−2424
Solution
y1=−2424,y2=0,y3=2424
Alternative Form
y1≈−1.106682,y2=0,y3≈1.106682
Show Solution
