Question
Find the roots
x1=−1510,x2=1510
Alternative Form
x1≈−0.210819,x2≈0.210819
Evaluate
45x2−2
To find the roots of the expression,set the expression equal to 0
45x2−2=0
Move the constant to the right-hand side and change its sign
45x2=0+2
Removing 0 doesn't change the value,so remove it from the expression
45x2=2
Divide both sides
4545x2=452
Divide the numbers
x2=452
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±452
Simplify the expression
More Steps

Evaluate
452
To take a root of a fraction,take the root of the numerator and denominator separately
452
Simplify the radical expression
More Steps

Evaluate
45
Write the expression as a product where the root of one of the factors can be evaluated
9×5
Write the number in exponential form with the base of 3
32×5
The root of a product is equal to the product of the roots of each factor
32×5
Reduce the index of the radical and exponent with 2
35
352
Multiply by the Conjugate
35×52×5
Multiply the numbers
More Steps

Evaluate
2×5
The product of roots with the same index is equal to the root of the product
2×5
Calculate the product
10
35×510
Multiply the numbers
More Steps

Evaluate
35×5
When a square root of an expression is multiplied by itself,the result is that expression
3×5
Multiply the terms
15
1510
x=±1510
Separate the equation into 2 possible cases
x=1510x=−1510
Solution
x1=−1510,x2=1510
Alternative Form
x1≈−0.210819,x2≈0.210819
Show Solution
