Question
Solve the equation
x1=−5440,x2=5440
Alternative Form
x1≈−0.502973,x2≈0.502973
Evaluate
16−50x2×5x2=0
Multiply
More Steps

Evaluate
50x2×5x2
Multiply the terms
250x2×x2
Multiply the terms with the same base by adding their exponents
250x2+2
Add the numbers
250x4
16−250x4=0
Move the constant to the right-hand side and change its sign
−250x4=0−16
Removing 0 doesn't change the value,so remove it from the expression
−250x4=−16
Change the signs on both sides of the equation
250x4=16
Divide both sides
250250x4=25016
Divide the numbers
x4=25016
Cancel out the common factor 2
x4=1258
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±41258
Simplify the expression
More Steps

Evaluate
41258
To take a root of a fraction,take the root of the numerator and denominator separately
412548
Multiply by the Conjugate
4125×4125348×41253
Simplify
4125×4125348×5245
Multiply the numbers
More Steps

Evaluate
48×5245
Multiply the terms
440×52
Use the commutative property to reorder the terms
52440
4125×4125352440
Multiply the numbers
More Steps

Evaluate
4125×41253
The product of roots with the same index is equal to the root of the product
4125×1253
Calculate the product
41254
Transform the expression
4512
Reduce the index of the radical and exponent with 4
53
5352440
Reduce the fraction
More Steps

Evaluate
5352
Use the product rule aman=an−m to simplify the expression
53−21
Subtract the terms
511
Simplify
51
5440
x=±5440
Separate the equation into 2 possible cases
x=5440x=−5440
Solution
x1=−5440,x2=5440
Alternative Form
x1≈−0.502973,x2≈0.502973
Show Solution
