Question
Solve the equation
s1=−26,s2=0,s3=26
Alternative Form
s1≈−1.224745,s2=0,s3≈1.224745
Evaluate
3s=s3×2
Use the commutative property to reorder the terms
3s=2s3
Add or subtract both sides
3s−2s3=0
Factor the expression
s(3−2s2)=0
Separate the equation into 2 possible cases
s=03−2s2=0
Solve the equation
More Steps

Evaluate
3−2s2=0
Move the constant to the right-hand side and change its sign
−2s2=0−3
Removing 0 doesn't change the value,so remove it from the expression
−2s2=−3
Change the signs on both sides of the equation
2s2=3
Divide both sides
22s2=23
Divide the numbers
s2=23
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±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
s=±26
Separate the equation into 2 possible cases
s=26s=−26
s=0s=26s=−26
Solution
s1=−26,s2=0,s3=26
Alternative Form
s1≈−1.224745,s2=0,s3≈1.224745
Show Solution
