Question
Solve the equation
y1=−642052,y2=642052
Alternative Form
y1≈−1.121742,y2≈1.121742
Evaluate
4y4×3=19
Multiply the terms
12y4=19
Divide both sides
1212y4=1219
Divide the numbers
y4=1219
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±41219
Simplify the expression
More Steps

Evaluate
41219
To take a root of a fraction,take the root of the numerator and denominator separately
412419
Multiply by the Conjugate
412×4123419×4123
Simplify
412×4123419×24108
Multiply the numbers
More Steps

Evaluate
419×24108
Multiply the terms
42052×2
Use the commutative property to reorder the terms
242052
412×4123242052
Multiply the numbers
More Steps

Evaluate
412×4123
The product of roots with the same index is equal to the root of the product
412×123
Calculate the product
4124
Reduce the index of the radical and exponent with 4
12
12242052
Cancel out the common factor 2
642052
y=±642052
Separate the equation into 2 possible cases
y=642052y=−642052
Solution
y1=−642052,y2=642052
Alternative Form
y1≈−1.121742,y2≈1.121742
Show Solution
