Question

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Answer 1

ÁLGEBRA :

RESOLVER :
 
$x^{2} -5x =0 x(x-5) =0 x=0 x-5 =0 x=5$

RESOLVER:

$2 x^{2} -1= x^{2} +24 2 x^{2} - x^{2} =24 +1 x^{2} =25 x= \sqrt{25} x=5$

RESOLVER :

$3 x^{2} -5x=2 3 x^{2} -5x-2 =0 (3x+1) (x-2)=0 3x+1 =0 x= -1/3 x-2=0 x=2$

RESOLVER E INDICAR LA MAYOR RAIZ

$x^{2} -4x-5=0 \left(x+1\right)\left(x-5\right) x= -1 x=5 ( Mayor numero)$

DAR EL CONJUNTO SOLUCIÓN DE :

$3 x^{2} -2x(x-4)=x-12 3 x^{2} -2 x^{2} +8x=x-12 x^{2} +8x = x-12 x^{2} +7x +12 =0 \left(x+3\right)\left(x+4\right) x +3=0 /// x= -3 x+4 =0 /// x= -4 CS [-4;-3]$

SIMPLIFICAR

$\frac{ x^{2} -5x+6}{ x^{2} +2 x-8 } = \frac{\left(x-2\right)\left(x-3\right)}{\left(x-2\right)\left(x+4\right)} = \frac{x-3}{x+4}$

EFECTUAR

$\frac{x-2}{4} = \frac{x+2}{6} 6.(x-2) = 4.(x+2) 6x-12 = 4x +8 6x-4x = 12+8 2x = 20 x=10$

SIMPLIFICAR:

$E= [1-\frac{x}{x+a} ].[1+ \frac{x}{a}] = [ \frac{x+a-x}{x+a} ][ \frac{a+x}{a}] = [ \frac{a}{x+a}][ \frac{x+a}{a} ] = 1$ 

ARITMETICA

Calcular A:

$A= 2+4+6+8+....+54 = \frac{(2+54) .27}{2} = 756 PROGRESIÓN ARITMÉTICA GAUSS$


Calcular B :


$B= 1+3+5+7+......73 = \frac{(1+73) .37}{2} = 1369 PROGRESION ARITMETICA GAUSS$


PRODUCTO DE 3 NUMEROS

$x.y.z = 56 2.x.2y.2z = 56 Para igual multiplicar por 8 el resultado: 2x.2y.2z = 448$