Question
Solve the equation
x=303300
Alternative Form
x≈0.223144
Evaluate
10x2×9x−1=0
Multiply
More Steps

Evaluate
10x2×9x
Multiply the terms
90x2×x
Multiply the terms with the same base by adding their exponents
90x2+1
Add the numbers
90x3
90x3−1=0
Move the constant to the right-hand side and change its sign
90x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
90x3=1
Divide both sides
9090x3=901
Divide the numbers
x3=901
Take the 3-th root on both sides of the equation
3x3=3901
Calculate
x=3901
Solution
More Steps

Evaluate
3901
To take a root of a fraction,take the root of the numerator and denominator separately
39031
Simplify the radical expression
3901
Multiply by the Conjugate
390×39023902
Simplify
390×390233300
Multiply the numbers
More Steps

Evaluate
390×3902
The product of roots with the same index is equal to the root of the product
390×902
Calculate the product
3903
Reduce the index of the radical and exponent with 3
90
9033300
Cancel out the common factor 3
303300
x=303300
Alternative Form
x≈0.223144
Show Solution
