Question

identifique os coeficientes a b e c da equações de segundo grau e diga se ela é completa ou incompleta

$5x - {x}^{2} + 25 = 3x$
$- 3x + 2 - {x}^{2} = 0$
$\frac{5}{3} x - {x}^{2} = 0$
${x}^{2} + 2x + 7 = 0$
$8 + {x}^{2} - 25x = 0$
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Answer 1

$Equ. \: completa⟶\boxed{ax {}^{2} + bx + c = 0}$

$5x - x {}^{2} + 25 = 3x \\ 5x - x {}^{2} + 25 - 3x = 0 \\ 2x - x {}^{2} + 25 = 0 \\ - x {}^{2} + 2x + 25 = 0 \: \: . \: ( - 1) \\ x {}^{2} - 2x - 25 = 0 \\Coef. : \boxed{a = 1 \: , \: b= - 2 \: , \: c = - 25} \\ \boxed{Completa}$

$- 3x + 2 - x {}^{2} = 0 \\ - x {}^{2} - 3x + 2 = 0 \: \: . \: ( - 1)\\ x {}^{2} + 3x - 2 = 0 \\ Coef.: \boxed{a = 1 \: , \: b = 3 \: ,\: c = - 2} \\ \boxed{Completa}$

$\frac{5}{3} x - x {}^{2} = 0 \: \: . \: (3) \\ 5x - 3x {}^{2} = 0 \\ - 3x {}^{2} + 5x = 0 \\ Coef. : \boxed{a = - 3 \: ,\: b = 5 \: , \: c = 0} \\ \boxed{Incompleta}$

$x {}^{2} + 2x + 7 = 0 \\ Coef. : \boxed{a = 1 \: , \: b = 2 \: ,\: c = 7} \\ \boxed{Completa}$

$8 + x {}^{2} - 25x = 0 \\ x {}^{2} - 25x + 8 = 0 \\ Coef. : \boxed{a = 1 \: , \: b = - 25 \: ,\: c = 8} \\ \boxed{Completa}$

Att. NLE Top Shotta