Question
Solve the equation
x1=−71079,x2=71079
Alternative Form
x1≈−0.823171,x2≈0.823171
Evaluate
x3×x5(x×7)(x×9)=9
Remove the parentheses
x3×x5×x×7x×9=9
Multiply
More Steps

Evaluate
x3×x5×x×7x×9
Multiply the terms with the same base by adding their exponents
x3+5+1+1×7×9
Add the numbers
x10×7×9
Multiply the terms
x10×63
Use the commutative property to reorder the terms
63x10
63x10=9
Divide both sides
6363x10=639
Divide the numbers
x10=639
Cancel out the common factor 9
x10=71
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1071
Simplify the expression
More Steps

Evaluate
1071
To take a root of a fraction,take the root of the numerator and denominator separately
107101
Simplify the radical expression
1071
Multiply by the Conjugate
107×10791079
Multiply the numbers
More Steps

Evaluate
107×1079
The product of roots with the same index is equal to the root of the product
107×79
Calculate the product
10710
Reduce the index of the radical and exponent with 10
7
71079
x=±71079
Separate the equation into 2 possible cases
x=71079x=−71079
Solution
x1=−71079,x2=71079
Alternative Form
x1≈−0.823171,x2≈0.823171
Show Solution
