Question
Factor the expression
2(x−13)(x+13)
Evaluate
2x2−338
Factor out 2 from the expression
2(x2−169)
Solution
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Evaluate
x2−169
Rewrite the expression in exponential form
x2−132
Use a2−b2=(a−b)(a+b) to factor the expression
(x−13)(x+13)
2(x−13)(x+13)
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Find the roots
x1=−13,x2=13
Evaluate
2x2−338
To find the roots of the expression,set the expression equal to 0
2x2−338=0
Move the constant to the right-hand side and change its sign
2x2=0+338
Removing 0 doesn't change the value,so remove it from the expression
2x2=338
Divide both sides
22x2=2338
Divide the numbers
x2=2338
Divide the numbers
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Evaluate
2338
Reduce the numbers
1169
Calculate
169
x2=169
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±169
Simplify the expression
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Evaluate
169
Write the number in exponential form with the base of 13
132
Reduce the index of the radical and exponent with 2
13
x=±13
Separate the equation into 2 possible cases
x=13x=−13
Solution
x1=−13,x2=13
Show Solution
