Question
Solve the equation
x1=−52429×523,x2=52429×523
Alternative Form
x1≈−0.864169,x2≈0.864169
Evaluate
4(x2)2×13=29
Simplify
More Steps

Evaluate
4(x2)2×13
Multiply the exponents
4x2×2×13
Multiply the numbers
4x4×13
Multiply the terms
52x4
52x4=29
Divide both sides
5252x4=5229
Divide the numbers
x4=5229
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±45229
Simplify the expression
More Steps

Evaluate
45229
To take a root of a fraction,take the root of the numerator and denominator separately
452429
Multiply by the Conjugate
452×4523429×4523
The product of roots with the same index is equal to the root of the product
452×4523429×523
Multiply the numbers
More Steps

Evaluate
452×4523
The product of roots with the same index is equal to the root of the product
452×523
Calculate the product
4524
Reduce the index of the radical and exponent with 4
52
52429×523
x=±52429×523
Separate the equation into 2 possible cases
x=52429×523x=−52429×523
Solution
x1=−52429×523,x2=52429×523
Alternative Form
x1≈−0.864169,x2≈0.864169
Show Solution
