Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−4x−5
Evaluate
(x−2)2−9
Expand the expression
x2−4x+4−9
Solution
x2−4x−5
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Factor the expression
(x−5)(x+1)
Evaluate
(x−2)2−9
Rewrite the expression in exponential form
(x−2)2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(x−2−3)(x−2+3)
Evaluate
(x−5)(x−2+3)
Solution
(x−5)(x+1)
Show Solution
Find the roots
x1=−1,x2=5
Evaluate
(x−2)2−9
To find the roots of the expression,set the expression equal to 0
(x−2)2−9=0
Move the constant to the right-hand side and change its sign
(x−2)2=0+9
Removing 0 doesn't change the value,so remove it from the expression
(x−2)2=9
Take the root of both sides of the equation and remember to use both positive and negative roots
x−2=±9
Simplify the expression
More Steps
Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
x−2=±3
Separate the equation into 2 possible cases
x−2=3x−2=−3
Calculate
More Steps
Evaluate
x−2=3
Move the constant to the right-hand side and change its sign
x=3+2
Add the numbers
x=5
x=5x−2=−3
Calculate
More Steps
Evaluate
x−2=−3
Move the constant to the right-hand side and change its sign
x=−3+2
Add the numbers
x=−1
x=5x=−1
Solution
x1=−1,x2=5
Show Solution