Question
Solve the equation
w1=−2626,w2=0,w3=2626
Alternative Form
w1≈−0.196116,w2=0,w3≈0.196116
Evaluate
52w3=2w5
Cross multiply
w3×2=52w5
Simplify the equation
2w3=52w5
Rewrite the expression
2w3=2×26w5
Evaluate
w3=26w5
Move the expression to the left side
w3−26w5=0
Factor the expression
w3(1−26w2)=0
Separate the equation into 2 possible cases
w3=01−26w2=0
The only way a power can be 0 is when the base equals 0
w=01−26w2=0
Solve the equation
More Steps

Evaluate
1−26w2=0
Move the constant to the right-hand side and change its sign
−26w2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−26w2=−1
Change the signs on both sides of the equation
26w2=1
Divide both sides
2626w2=261
Divide the numbers
w2=261
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±261
Simplify the expression
More Steps

Evaluate
261
To take a root of a fraction,take the root of the numerator and denominator separately
261
Simplify the radical expression
261
Multiply by the Conjugate
26×2626
When a square root of an expression is multiplied by itself,the result is that expression
2626
w=±2626
Separate the equation into 2 possible cases
w=2626w=−2626
w=0w=2626w=−2626
Solution
w1=−2626,w2=0,w3=2626
Alternative Form
w1≈−0.196116,w2=0,w3≈0.196116
Show Solution
