Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for s
Solve for s0
Solve for v
s=0s=∣vs0∣2s0s=−∣vs0∣2s0
Evaluate
s=s0vs×21vs2
Multiply
More Steps
Evaluate
s0vs×21vs2
Multiply the terms
s0v2s×21s2
Multiply the terms with the same base by adding their exponents
s0v2s1+2×21
Add the numbers
s0v2s3×21
Use the commutative property to reorder the terms
21s0v2s3
s=21s0v2s3
Add or subtract both sides
s−21s0v2s3=0
Factor the expression
s(1−21s0v2s2)=0
Separate the equation into 2 possible cases
s=01−21s0v2s2=0
Solution
More Steps
Evaluate
1−21s0v2s2=0
Move the constant to the right-hand side and change its sign
−21s0v2s2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−21s0v2s2=−1
Divide both sides
−21s0v2−21s0v2s2=−21s0v2−1
Divide the numbers
s2=−21s0v2−1
Divide the numbers
More Steps
Evaluate
−21s0v2−1
Multiply by the reciprocal
−(−s0v22)
Multiplying or dividing an even number of negative terms equals a positive
s0v22
s2=s0v22
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±s0v22
Simplify the expression
More Steps
Evaluate
s0v22
To take a root of a fraction,take the root of the numerator and denominator separately
s0v22
Simplify the radical expression
∣v∣×s02
Multiply by the Conjugate
∣v∣×s0×s02×s0
Calculate
∣v∣∣s0∣2×s0
The product of roots with the same index is equal to the root of the product
∣v∣∣s0∣2s0
s=±∣v∣∣s0∣2s0
Separate the equation into 2 possible cases
s=∣v∣∣s0∣2s0s=−∣v∣∣s0∣2s0
Multiply the terms
s=∣vs0∣2s0s=−∣v∣∣s0∣2s0
Multiply the terms
s=∣vs0∣2s0s=−∣vs0∣2s0
s=0s=∣vs0∣2s0s=−∣vs0∣2s0
Show Solution
