Question
Factor the expression
2(35−323r2)
Evaluate
70−646r2
Solution
2(35−323r2)
Show Solution

Find the roots
r1=−32311305,r2=32311305
Alternative Form
r1≈−0.329179,r2≈0.329179
Evaluate
70−646r2
To find the roots of the expression,set the expression equal to 0
70−646r2=0
Move the constant to the right-hand side and change its sign
−646r2=0−70
Removing 0 doesn't change the value,so remove it from the expression
−646r2=−70
Change the signs on both sides of the equation
646r2=70
Divide both sides
646646r2=64670
Divide the numbers
r2=64670
Cancel out the common factor 2
r2=32335
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±32335
Simplify the expression
More Steps

Evaluate
32335
To take a root of a fraction,take the root of the numerator and denominator separately
32335
Multiply by the Conjugate
323×32335×323
Multiply the numbers
More Steps

Evaluate
35×323
The product of roots with the same index is equal to the root of the product
35×323
Calculate the product
11305
323×32311305
When a square root of an expression is multiplied by itself,the result is that expression
32311305
r=±32311305
Separate the equation into 2 possible cases
r=32311305r=−32311305
Solution
r1=−32311305,r2=32311305
Alternative Form
r1≈−0.329179,r2≈0.329179
Show Solution
