Question
Factor the expression
41(4x2−7)
Evaluate
x2−47
Solution
41(4x2−7)
Show Solution

Find the roots
x1=−27,x2=27
Alternative Form
x1≈−1.322876,x2≈1.322876
Evaluate
x2−47
To find the roots of the expression,set the expression equal to 0
x2−47=0
Move the constant to the right-hand side and change its sign
x2=0+47
Add the terms
x2=47
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±47
Simplify the expression
More Steps

Evaluate
47
To take a root of a fraction,take the root of the numerator and denominator separately
47
Simplify the radical expression
More Steps

Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
27
x=±27
Separate the equation into 2 possible cases
x=27x=−27
Solution
x1=−27,x2=27
Alternative Form
x1≈−1.322876,x2≈1.322876
Show Solution
