Question

15x⁴+26x³-17x² -20x-4=0
​

Answer 1

Respuesta:

La ecuacion tiene 4 soluciones

x1= -2

x2= -2/5

x3= -1/3

x4= 1

Explicación paso a paso:

15x⁴+26x³-17x² -20x-4=0

15x⁴-15x³+41x³-41x²+24x²-24x+4-4=0

15x³*(x-1)+41x²*(x-1)+24x*(x-1)+4*(x-1)=0

(x-1)*(15x³+41x²+24x+4)=0

(x-1)*(15x³+5x²+36x²+12x+12x+4)=0

(x-1)*(5x²*(3x+1)+12x*(3x+1)+4(3x+1))=0

(x-1)*(3x+1)*(5x²+12x+4)=0

(x-1)*(3x+1)*(5x²+10x+2x+4)=0

(x-1)*(3x+1)*(5x*(x+2)+2(2+2))=0

(x-1)*(3x+1)*(x+2)*(5x+2)=0

x-1=0

3x+1=0

x+2=0

5x+2=0

x=1

x=-1/3

x=-2

x=-2/5