Question
Simplify the expression
18x6−5
Evaluate
2x4×9x2−5
Solution
More Steps

Evaluate
2x4×9x2
Multiply the terms
18x4×x2
Multiply the terms with the same base by adding their exponents
18x4+2
Add the numbers
18x6
18x6−5
Show Solution

Find the roots
x1=−1865×185,x2=1865×185
Alternative Form
x1≈−0.807761,x2≈0.807761
Evaluate
2x4×9x2−5
To find the roots of the expression,set the expression equal to 0
2x4×9x2−5=0
Multiply
More Steps

Multiply the terms
2x4×9x2
Multiply the terms
18x4×x2
Multiply the terms with the same base by adding their exponents
18x4+2
Add the numbers
18x6
18x6−5=0
Move the constant to the right-hand side and change its sign
18x6=0+5
Removing 0 doesn't change the value,so remove it from the expression
18x6=5
Divide both sides
1818x6=185
Divide the numbers
x6=185
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6185
Simplify the expression
More Steps

Evaluate
6185
To take a root of a fraction,take the root of the numerator and denominator separately
61865
Multiply by the Conjugate
618×618565×6185
The product of roots with the same index is equal to the root of the product
618×618565×185
Multiply the numbers
More Steps

Evaluate
618×6185
The product of roots with the same index is equal to the root of the product
618×185
Calculate the product
6186
Reduce the index of the radical and exponent with 6
18
1865×185
x=±1865×185
Separate the equation into 2 possible cases
x=1865×185x=−1865×185
Solution
x1=−1865×185,x2=1865×185
Alternative Form
x1≈−0.807761,x2≈0.807761
Show Solution
