Question
Solve the equation
x=731764
Alternative Form
x≈1.726109
Evaluate
7x2×500x−18000=0
Multiply
More Steps

Evaluate
7x2×500x
Multiply the terms
3500x2×x
Multiply the terms with the same base by adding their exponents
3500x2+1
Add the numbers
3500x3
3500x3−18000=0
Move the constant to the right-hand side and change its sign
3500x3=0+18000
Removing 0 doesn't change the value,so remove it from the expression
3500x3=18000
Divide both sides
35003500x3=350018000
Divide the numbers
x3=350018000
Cancel out the common factor 500
x3=736
Take the 3-th root on both sides of the equation
3x3=3736
Calculate
x=3736
Solution
More Steps

Evaluate
3736
To take a root of a fraction,take the root of the numerator and denominator separately
37336
Multiply by the Conjugate
37×372336×372
Simplify
37×372336×349
Multiply the numbers
More Steps

Evaluate
336×349
The product of roots with the same index is equal to the root of the product
336×49
Calculate the product
31764
37×37231764
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
731764
x=731764
Alternative Form
x≈1.726109
Show Solution
