Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−1710
Evaluate
x2−19×90
Solution
x2−1710
Show Solution
Find the roots
x1=−3190,x2=3190
Alternative Form
x1≈−41.352146,x2≈41.352146
Evaluate
x2−19×90
To find the roots of the expression,set the expression equal to 0
x2−19×90=0
Multiply the numbers
x2−1710=0
Move the constant to the right-hand side and change its sign
x2=0+1710
Removing 0 doesn't change the value,so remove it from the expression
x2=1710
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1710
Simplify the expression
More Steps
Evaluate
1710
Write the expression as a product where the root of one of the factors can be evaluated
9×190
Write the number in exponential form with the base of 3
32×190
The root of a product is equal to the product of the roots of each factor
32×190
Reduce the index of the radical and exponent with 2
3190
x=±3190
Separate the equation into 2 possible cases
x=3190x=−3190
Solution
x1=−3190,x2=3190
Alternative Form
x1≈−41.352146,x2≈41.352146
Show Solution