Question
Simplify the expression
3q4−1294
Evaluate
q4×3−1092−202
Use the commutative property to reorder the terms
3q4−1092−202
Solution
3q4−1294
Show Solution

Find the roots
q1=−3434938,q2=3434938
Alternative Form
q1≈−4.557254,q2≈4.557254
Evaluate
q4×3−1092−202
To find the roots of the expression,set the expression equal to 0
q4×3−1092−202=0
Use the commutative property to reorder the terms
3q4−1092−202=0
Subtract the numbers
3q4−1294=0
Move the constant to the right-hand side and change its sign
3q4=0+1294
Removing 0 doesn't change the value,so remove it from the expression
3q4=1294
Divide both sides
33q4=31294
Divide the numbers
q4=31294
Take the root of both sides of the equation and remember to use both positive and negative roots
q=±431294
Simplify the expression
More Steps

Evaluate
431294
To take a root of a fraction,take the root of the numerator and denominator separately
4341294
Multiply by the Conjugate
43×43341294×433
Simplify
43×43341294×427
Multiply the numbers
More Steps

Evaluate
41294×427
The product of roots with the same index is equal to the root of the product
41294×27
Calculate the product
434938
43×433434938
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
3434938
q=±3434938
Separate the equation into 2 possible cases
q=3434938q=−3434938
Solution
q1=−3434938,q2=3434938
Alternative Form
q1≈−4.557254,q2≈4.557254
Show Solution
