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This is going over problem number 26 of exercise set 9 .2 in introductory algebra for college students.
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So for number 26, we're given the quadratic equation x squared equals 5x minus 3, and we're told to solve using the completely square method.
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So first step to solve this by completely the square will be to get an isolated binomial.
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So to do that, we will subtract minus 5x from both sides, and we will be given x squared minus.
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5x equals minus 3.
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Now we can go ahead and find our b over 2 squared.
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Our b in this case is going to be 5.
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So we have 5 over 2 squared.
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So now we will add that to both sides of our equation, and we will get x squared minus 5x plus.
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We'll go ahead and square that.
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So 5 squared will be 25, and 2 squared will be 4, equals minus 3.
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Be a little bit better.
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There we go.
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Minus 3 plus 25 over 4.
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Now in the left here, we have our perfect square trinomial...