Question
Solve the equation
x1=−34378,x2=34378
Alternative Form
x1≈−1.469778,x2≈1.469778
Evaluate
6×4x4=7
Multiply the terms
More Steps

Multiply the terms
6×4x4
Cancel out the common factor 2
3×2x4
Multiply the terms
23x4
23x4=7
Cross multiply
3x4=2×7
Simplify the equation
3x4=14
Divide both sides
33x4=314
Divide the numbers
x4=314
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4314
Simplify the expression
More Steps

Evaluate
4314
To take a root of a fraction,take the root of the numerator and denominator separately
43414
Multiply by the Conjugate
43×433414×433
Simplify
43×433414×427
Multiply the numbers
More Steps

Evaluate
414×427
The product of roots with the same index is equal to the root of the product
414×27
Calculate the product
4378
43×4334378
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
34378
x=±34378
Separate the equation into 2 possible cases
x=34378x=−34378
Solution
x1=−34378,x2=34378
Alternative Form
x1≈−1.469778,x2≈1.469778
Show Solution
