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natulia [17]
3 years ago
10

Which value must be added to the expression x^2– 3x to make it a perfect-square trinomial?

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

\frac{9}{4}

Step-by-step explanation:

Given

x² - 3x

add ( half the coefficient of the x- term)²

x² + 2(- \frac{3}{2})x + (- \frac{3}{2})²

= (x - \frac{3}{2})² + \frac{9}{4}

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<em>Additional comments</em>

It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.

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