Question
Solve the equation
x=410
Alternative Form
x≈1.778279
Evaluate
x3∣x∣=10
Separate the equation into 2 possible cases
x3×x=10,x≥0x3(−x)=10,x<0
Evaluate
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Evaluate
x3×x=10
Expand the expression
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4=10
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±410
Separate the equation into 2 possible cases
x=410x=−410
x=410x=−410,x≥0x3(−x)=10,x<0
Evaluate
More Steps

Evaluate
x3(−x)=10
Calculate
−x3×x=10
Expand the expression
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−x4=10
Since the left-hand side is always negative or 0,and the right-hand side is always positive,the statement is false for any value of x
x∈/R
x=410x=−410,x≥0x∈/R,x<0
Find the intersection
x=410x∈/R,x<0
Find the intersection
x=410x∈/R
Solution
x=410
Alternative Form
x≈1.778279
Show Solution
