Question

In the following exercises, solve each equation. $64 x^2+144 x+81=25$ 

   In the following exercises, solve each equation.
$64 x^2+144 x+81=25$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 9, Problem 46 ↓
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In the following exercises, solve each equation. $64 x^2+144 x+81=25$
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Transcript

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00:01 To solve these problems, we have over here a perfect squared trinomial.
00:04 Because of that, we can factor into something squared.
00:07 So, 64x squared is 8x to the second power.
00:11 81 is 9 squared.
00:13 8 times 9 is 72x.
00:15 72 times 2 is 144.
00:17 These are the things that you can use to check to make sure that everything is a perfect square trinomial.
00:21 So now when i go to factor this, it's going to be 8x.
00:24 This is a plus, so it would be plus here, and then followed by 9.
00:28 On the right is still just 25.
00:31 Now i'm going to take the square root of both sides...
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