Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?
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<u><em>Answer:</em></u>
You should multiply the expression by
<u><em>Explanation:</em></u>
To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign
<u>This means that:</u>
The conjugate of a + b would be a - b
Now, the given expression is
<u>Consider the denominator:</u>
From the above, we can conclude that the conjugate of is
<u>And, remember that</u> we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value
<u>Therefore:</u>
You should multiply the expression by in order to rationalize the denominator
Hope this helps :)