Question
Solve the equation
x=73490
Alternative Form
x≈1.126248
Evaluate
7x2×90x−900=0
Multiply
More Steps

Evaluate
7x2×90x
Multiply the terms
630x2×x
Multiply the terms with the same base by adding their exponents
630x2+1
Add the numbers
630x3
630x3−900=0
Move the constant to the right-hand side and change its sign
630x3=0+900
Removing 0 doesn't change the value,so remove it from the expression
630x3=900
Divide both sides
630630x3=630900
Divide the numbers
x3=630900
Cancel out the common factor 90
x3=710
Take the 3-th root on both sides of the equation
3x3=3710
Calculate
x=3710
Solution
More Steps

Evaluate
3710
To take a root of a fraction,take the root of the numerator and denominator separately
37310
Multiply by the Conjugate
37×372310×372
Simplify
37×372310×349
Multiply the numbers
More Steps

Evaluate
310×349
The product of roots with the same index is equal to the root of the product
310×49
Calculate the product
3490
37×3723490
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
73490
x=73490
Alternative Form
x≈1.126248
Show Solution
