Question
Simplify the expression
225−36x2
Evaluate
152−(6x)2
Evaluate the power
225−(6x)2
Solution
225−36x2
Show Solution

Factor the expression
9(5−2x)(5+2x)
Evaluate
152−(6x)2
Evaluate
225−(6x)2
Evaluate
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Evaluate
(6x)2
To raise a product to a power,raise each factor to that power
62x2
Evaluate the power
36x2
225−36x2
Factor out 9 from the expression
9(25−4x2)
Solution
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Evaluate
25−4x2
Rewrite the expression in exponential form
52−(2x)2
Use a2−b2=(a−b)(a+b) to factor the expression
(5−2x)(5+2x)
9(5−2x)(5+2x)
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Find the roots
x1=−25,x2=25
Alternative Form
x1=−2.5,x2=2.5
Evaluate
152−(6x)2
To find the roots of the expression,set the expression equal to 0
152−(6x)2=0
Subtract the terms
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Simplify
152−(6x)2
Evaluate the power
225−(6x)2
Rewrite the expression
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Evaluate
(6x)2
To raise a product to a power,raise each factor to that power
62x2
Evaluate the power
36x2
225−36x2
225−36x2=0
Move the constant to the right-hand side and change its sign
−36x2=0−225
Removing 0 doesn't change the value,so remove it from the expression
−36x2=−225
Change the signs on both sides of the equation
36x2=225
Divide both sides
3636x2=36225
Divide the numbers
x2=36225
Cancel out the common factor 9
x2=425
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±425
Simplify the expression
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Evaluate
425
To take a root of a fraction,take the root of the numerator and denominator separately
425
Simplify the radical expression
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Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
45
Simplify the radical expression
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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
25
x=±25
Separate the equation into 2 possible cases
x=25x=−25
Solution
x1=−25,x2=25
Alternative Form
x1=−2.5,x2=2.5
Show Solution
