Question
Solve the equation
x1=−748575,x2=748575
Alternative Form
x1≈−1.374708,x2≈1.374708
Evaluate
7x4−6=19
Move the constant to the right-hand side and change its sign
7x4=19+6
Add the numbers
7x4=25
Divide both sides
77x4=725
Divide the numbers
x4=725
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4725
Simplify the expression
More Steps

Evaluate
4725
To take a root of a fraction,take the root of the numerator and denominator separately
47425
Simplify the radical expression
More Steps

Evaluate
425
Write the number in exponential form with the base of 5
452
Reduce the index of the radical and exponent with 2
5
475
Multiply by the Conjugate
47×4735×473
Simplify
47×4735×4343
Multiply the numbers
More Steps

Evaluate
5×4343
Use na=mnam to expand the expression
452×4343
The product of roots with the same index is equal to the root of the product
452×343
Calculate the product
48575
47×47348575
Multiply the numbers
More Steps

Evaluate
47×473
The product of roots with the same index is equal to the root of the product
47×73
Calculate the product
474
Reduce the index of the radical and exponent with 4
7
748575
x=±748575
Separate the equation into 2 possible cases
x=748575x=−748575
Solution
x1=−748575,x2=748575
Alternative Form
x1≈−1.374708,x2≈1.374708
Show Solution
