Question
Solve the equation
y1=−26,y2=0,y3=26
Alternative Form
y1≈−1.224745,y2=0,y3≈1.224745
Evaluate
2y3=3y
Add or subtract both sides
2y3−3y=0
Factor the expression
y(2y2−3)=0
Separate the equation into 2 possible cases
y=02y2−3=0
Solve the equation
More Steps

Evaluate
2y2−3=0
Move the constant to the right-hand side and change its sign
2y2=0+3
Removing 0 doesn't change the value,so remove it from the expression
2y2=3
Divide both sides
22y2=23
Divide the numbers
y2=23
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±23
Simplify the expression
More Steps

Evaluate
23
To take a root of a fraction,take the root of the numerator and denominator separately
23
Multiply by the Conjugate
2×23×2
Multiply the numbers
2×26
When a square root of an expression is multiplied by itself,the result is that expression
26
y=±26
Separate the equation into 2 possible cases
y=26y=−26
y=0y=26y=−26
Solution
y1=−26,y2=0,y3=26
Alternative Form
y1≈−1.224745,y2=0,y3≈1.224745
Show Solution
