Question
Find the roots
x1=−66,x2=66
Alternative Form
x1≈−0.408248,x2≈0.408248
Evaluate
1−6x2
To find the roots of the expression,set the expression equal to 0
1−6x2=0
Move the constant to the right-hand side and change its sign
−6x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−6x2=−1
Change the signs on both sides of the equation
6x2=1
Divide both sides
66x2=61
Divide the numbers
x2=61
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±61
Simplify the expression
More Steps

Evaluate
61
To take a root of a fraction,take the root of the numerator and denominator separately
61
Simplify the radical expression
61
Multiply by the Conjugate
6×66
When a square root of an expression is multiplied by itself,the result is that expression
66
x=±66
Separate the equation into 2 possible cases
x=66x=−66
Solution
x1=−66,x2=66
Alternative Form
x1≈−0.408248,x2≈0.408248
Show Solution
