Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−234
Alternative Form
x≈−0.793701
Evaluate
x2×10x=−5
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=−5
Divide both sides
1010x3=10−5
Divide the numbers
x3=10−5
Divide the numbers
More Steps
Evaluate
10−5
Cancel out the common factor 5
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
x3=−21
Take the 3-th root on both sides of the equation
3x3=3−21
Calculate
x=3−21
Solution
More Steps
Evaluate
3−21
An odd root of a negative radicand is always a negative
−321
To take a root of a fraction,take the root of the numerator and denominator separately
−3231
Simplify the radical expression
−321
Multiply by the Conjugate
32×322−322
Simplify
32×322−34
Multiply the numbers
More Steps
Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2−34
Calculate
−234
x=−234
Alternative Form
x≈−0.793701
Show Solution
Graph
