Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
31(x2−27)
Evaluate
31x2−9
Solution
31(x2−27)
Show Solution
Find the roots
x1=−33,x2=33
Alternative Form
x1≈−5.196152,x2≈5.196152
Evaluate
(31)x2−9
To find the roots of the expression,set the expression equal to 0
(31)x2−9=0
Remove the unnecessary parentheses
31x2−9=0
Move the constant to the right-hand side and change its sign
31x2=0+9
Removing 0 doesn't change the value,so remove it from the expression
31x2=9
Multiply by the reciprocal
31x2×3=9×3
Multiply
x2=9×3
Multiply
x2=27
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±27
Simplify the expression
More Steps
Evaluate
27
Write the expression as a product where the root of one of the factors can be evaluated
9×3
Write the number in exponential form with the base of 3
32×3
The root of a product is equal to the product of the roots of each factor
32×3
Reduce the index of the radical and exponent with 2
33
x=±33
Separate the equation into 2 possible cases
x=33x=−33
Solution
x1=−33,x2=33
Alternative Form
x1≈−5.196152,x2≈5.196152
Show Solution