Question
Find the roots
d1=−366,d2=366
Alternative Form
d1≈−2.708013,d2≈2.708013
Evaluate
3d2−22
To find the roots of the expression,set the expression equal to 0
3d2−22=0
Move the constant to the right-hand side and change its sign
3d2=0+22
Removing 0 doesn't change the value,so remove it from the expression
3d2=22
Divide both sides
33d2=322
Divide the numbers
d2=322
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±322
Simplify the expression
More Steps

Evaluate
322
To take a root of a fraction,take the root of the numerator and denominator separately
322
Multiply by the Conjugate
3×322×3
Multiply the numbers
More Steps

Evaluate
22×3
The product of roots with the same index is equal to the root of the product
22×3
Calculate the product
66
3×366
When a square root of an expression is multiplied by itself,the result is that expression
366
d=±366
Separate the equation into 2 possible cases
d=366d=−366
Solution
d1=−366,d2=366
Alternative Form
d1≈−2.708013,d2≈2.708013
Show Solution
