Question
Simplify the expression
14r2−1
Evaluate
r2×14−1
Solution
14r2−1
Show Solution

Find the roots
r1=−1414,r2=1414
Alternative Form
r1≈−0.267261,r2≈0.267261
Evaluate
r2×14−1
To find the roots of the expression,set the expression equal to 0
r2×14−1=0
Use the commutative property to reorder the terms
14r2−1=0
Move the constant to the right-hand side and change its sign
14r2=0+1
Removing 0 doesn't change the value,so remove it from the expression
14r2=1
Divide both sides
1414r2=141
Divide the numbers
r2=141
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±141
Simplify the expression
More Steps

Evaluate
141
To take a root of a fraction,take the root of the numerator and denominator separately
141
Simplify the radical expression
141
Multiply by the Conjugate
14×1414
When a square root of an expression is multiplied by itself,the result is that expression
1414
r=±1414
Separate the equation into 2 possible cases
r=1414r=−1414
Solution
r1=−1414,r2=1414
Alternative Form
r1≈−0.267261,r2≈0.267261
Show Solution
