Question
Solve the equation
x=1031100
Alternative Form
x≈1.03228
Evaluate
x2×10x−11=0
Multiply
More Steps

Evaluate
x2×10x
Multiply the terms with the same base by adding their exponents
x2+1×10
Add the numbers
x3×10
Use the commutative property to reorder the terms
10x3
10x3−11=0
Move the constant to the right-hand side and change its sign
10x3=0+11
Removing 0 doesn't change the value,so remove it from the expression
10x3=11
Divide both sides
1010x3=1011
Divide the numbers
x3=1011
Take the 3-th root on both sides of the equation
3x3=31011
Calculate
x=31011
Solution
More Steps

Evaluate
31011
To take a root of a fraction,take the root of the numerator and denominator separately
310311
Multiply by the Conjugate
310×3102311×3102
Simplify
310×3102311×3100
Multiply the numbers
More Steps

Evaluate
311×3100
The product of roots with the same index is equal to the root of the product
311×100
Calculate the product
31100
310×310231100
Multiply the numbers
More Steps

Evaluate
310×3102
The product of roots with the same index is equal to the root of the product
310×102
Calculate the product
3103
Reduce the index of the radical and exponent with 3
10
1031100
x=1031100
Alternative Form
x≈1.03228
Show Solution
