Question
Simplify the expression
85y−23y3
Evaluate
85y−121×y3
Solution
More Steps

Evaluate
121
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
22+1
Add the terms
23
85y−23y3
Show Solution

Factor the expression
81y(5−12y2)
Evaluate
85y−121×y3
Covert the mixed number to an improper fraction
More Steps

Evaluate
121
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
22+1
Add the terms
23
85y−23y3
Rewrite the expression
81y×5−81y×12y2
Solution
81y(5−12y2)
Show Solution

Find the roots
y1=−615,y2=0,y3=615
Alternative Form
y1≈−0.645497,y2=0,y3≈0.645497
Evaluate
85y−121×y3
To find the roots of the expression,set the expression equal to 0
85y−121×y3=0
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
121
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
22+1
Add the terms
23
85y−23y3=0
Factor the expression
y(85−23y2)=0
Separate the equation into 2 possible cases
y=085−23y2=0
Solve the equation
More Steps

Evaluate
85−23y2=0
Move the constant to the right-hand side and change its sign
−23y2=0−85
Removing 0 doesn't change the value,so remove it from the expression
−23y2=−85
Change the signs on both sides of the equation
23y2=85
Multiply by the reciprocal
23y2×32=85×32
Multiply
y2=85×32
Multiply
More Steps

Evaluate
85×32
Reduce the numbers
45×31
To multiply the fractions,multiply the numerators and denominators separately
4×35
Multiply the numbers
125
y2=125
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±125
Simplify the expression
More Steps

Evaluate
125
To take a root of a fraction,take the root of the numerator and denominator separately
125
Simplify the radical expression
235
Multiply by the Conjugate
23×35×3
Multiply the numbers
23×315
Multiply the numbers
615
y=±615
Separate the equation into 2 possible cases
y=615y=−615
y=0y=615y=−615
Solution
y1=−615,y2=0,y3=615
Alternative Form
y1≈−0.645497,y2=0,y3≈0.645497
Show Solution
