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The expressions x² + bx + 10 and (x - 3)2 +c,
where b and c are constants, are equivalent. What is
the value of b + c ?

Respuesta :

joshlind3

Answer:

7

Step-by-step explanation:

[tex]x^2 + bx + 10 = (x-3)^2 + c\\x^2 + bx + 10 = (x-3)(x-3)+c\\x^2 + bx + 10 = x^2 - 6x + 9+c\\[/tex]

if two equations are equivalent, that means that each coefficient is the same

meaning that.

[tex]bx = 6x\\and\\10 = 9 + c\\so\\b = 6\\and\\c = 1[/tex]

Note that 10 is the coefficient of [tex]x^0[/tex]

so, b + c = 6 + 1 = 7

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