Question

Узнайте значение x в уравнении: x⋅x–4=6⋅x+3 !

Answer 1

${x}^{2} - 4 = 6x + 3$
$x {}^{2} - 6x = 3 + 4$
${x}^{2} - 6x = 7$
${x}^{2} - 6x - 7 = 0$
${x}^{2} + x - 7x - 7 = 0$
$x(x + 1) - 7(x + 1) = 0$
$(x + 1)(x - 7) = 0$
$x + 1 = 0 \\ x - 7 = 0$
$x = - 1 \\ x = 7$
ответ : х = -1 ; 7

Answer 2

X*x-4=6*x+3
x^2-6x-7=0
Теорема виета:
$\left \{ {{x1+x2=6} \atop {x1*x2=-7}} \right.$
x1= 7    x2=-1