Question

LA VARIABLE -1
P(a) = -2a² +5a+ 3
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Answer 1

Respuesta: $p(a)=-2(a-\frac{5}{4}^{2}+\frac{49}{8}$

Explicación paso a paso:

-1 P(a) = -2a² +5a+ 3

$p(a)= -2(a²-\frac{5}{2}a)+3$

$p(a)+=-2(a²-\frac{5}{2}a+?)+3$

$a²-\frac{5}{3}+\frac{25}{16}=s-\frac{5}{4})^{2}$

$\frac{25}{16}$

$p(a)+?=-2(a^{2}-\frac{5}{2}a+\frac{25}{16})+3$

$p(a)-\frac{25}{8}=-2(a^{2}-\frac{5}{2}a+\frac{25}{16}+3\\p(a)-\frac{25}{8}=-2(a-\frac{5}{4})^{2}+3$$p(a)-25=-2(a-\frac{5}{4})^{2}+3+\frac{25}{8}\\p(a)=-2(a-\frac{5}{4})^{2}+\frac{49}{8}$