Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(q−45)(q+45)
Evaluate
q2−2025
Rewrite the expression in exponential form
q2−452
Solution
(q−45)(q+45)
Show Solution
Find the roots
q1=−45,q2=45
Evaluate
q2−2025
To find the roots of the expression,set the expression equal to 0
q2−2025=0
Move the constant to the right-hand side and change its sign
q2=0+2025
Removing 0 doesn't change the value,so remove it from the expression
q2=2025
Take the root of both sides of the equation and remember to use both positive and negative roots
q=±2025
Simplify the expression
More Steps
Evaluate
2025
Write the number in exponential form with the base of 45
452
Reduce the index of the radical and exponent with 2
45
q=±45
Separate the equation into 2 possible cases
q=45q=−45
Solution
q1=−45,q2=45
Show Solution