Question
Simplify the expression
30x3−17
Evaluate
2x2×15x−17
Solution
More Steps

Evaluate
2x2×15x
Multiply the terms
30x2×x
Multiply the terms with the same base by adding their exponents
30x2+1
Add the numbers
30x3
30x3−17
Show Solution

Find the roots
x=30315300
Alternative Form
x≈0.827515
Evaluate
2x2×15x−17
To find the roots of the expression,set the expression equal to 0
2x2×15x−17=0
Multiply
More Steps

Multiply the terms
2x2×15x
Multiply the terms
30x2×x
Multiply the terms with the same base by adding their exponents
30x2+1
Add the numbers
30x3
30x3−17=0
Move the constant to the right-hand side and change its sign
30x3=0+17
Removing 0 doesn't change the value,so remove it from the expression
30x3=17
Divide both sides
3030x3=3017
Divide the numbers
x3=3017
Take the 3-th root on both sides of the equation
3x3=33017
Calculate
x=33017
Solution
More Steps

Evaluate
33017
To take a root of a fraction,take the root of the numerator and denominator separately
330317
Multiply by the Conjugate
330×3302317×3302
Simplify
330×3302317×3900
Multiply the numbers
More Steps

Evaluate
317×3900
The product of roots with the same index is equal to the root of the product
317×900
Calculate the product
315300
330×3302315300
Multiply the numbers
More Steps

Evaluate
330×3302
The product of roots with the same index is equal to the root of the product
330×302
Calculate the product
3303
Reduce the index of the radical and exponent with 3
30
30315300
x=30315300
Alternative Form
x≈0.827515
Show Solution
