Ola mi maestra nos dejo 4 ecuaciones cuadraticas completas pero no se como me podrian ayudar
1) x2-4x-21=0
2)x2+3x-4=0
3)x2+2x-3=0
4)x2-3x-4=0
el dos es el exponenet pero nose como s pone
1) x^2-4x-21=0
x²-4x-21=0
x²-4x-21+25-25=0
x²-4x+4-25=0
(x²-4x+4)-25=0 :
(x-2)²-25=0
(x-2)-5=0
x-2-5=0
x-7=0
x=7
(x-2)+5=0
x-2+5=0
x+3=0
x=-3
Solución: 7,-3
2)x^2+3x-4=0
x²+3x-4=0, Solution is: 1,-4
x²+3x-4+((25)/4)-((25)/4)=0
(x²+3x-4+((25)/4))-((25)/4)=0
(x²+3x+(9/4))-((25)/4)=0
(x+(3/2))²-((25)/4)=0
(x+(3/2))-(5/2)=0
x+(3/2)-(5/2)=0
x-1=0
x=1
(x+(3/2))+(5/2)=0
x+(3/2)+(5/2)=0
x+4=0
x=-4
Solución: 1,-4
3)x^2+2x-3=0
x²+2x-3=0
x²+2x-3+4-4=0
x²+2x+1-4=0
(x²+2x+1)-4=0
(x+1)²-4
x+1-2=0
x+1+2=0
Solución:1,-3
4)x^2-3x-4=0
x²-3x-4=0
x²-3x-4+((25)/4)-((25)/4)=0
(x²-3x-4+((25)/4))-((25)/4)=0
(x²-3x+(9/4))-((25)/4)=0
(x-(3/2))²-((25)/4)=0
(x-(3/2))-(5/2)=0
x-(3/2)-(5/2)=0
x-4=0
x=4
(x-(3/2))+(5/2)=0
x-(3/2)+(5/2)=0
x=1,
Solución: 4,-1
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Answers & Comments
1) x^2-4x-21=0
x²-4x-21=0
x²-4x-21+25-25=0
x²-4x+4-25=0
(x²-4x+4)-25=0 :
(x-2)²-25=0
(x-2)-5=0
x-2-5=0
x-7=0
x=7
(x-2)+5=0
x-2+5=0
x+3=0
x=-3
Solución: 7,-3
2)x^2+3x-4=0
x²+3x-4=0, Solution is: 1,-4
x²+3x-4+((25)/4)-((25)/4)=0
(x²+3x-4+((25)/4))-((25)/4)=0
(x²+3x+(9/4))-((25)/4)=0
(x+(3/2))²-((25)/4)=0
(x+(3/2))-(5/2)=0
x+(3/2)-(5/2)=0
x-1=0
x=1
(x+(3/2))+(5/2)=0
x+(3/2)+(5/2)=0
x+4=0
x=-4
Solución: 1,-4
3)x^2+2x-3=0
x²+2x-3=0
x²+2x-3+4-4=0
x²+2x+1-4=0
(x²+2x+1)-4=0
(x+1)²-4
x+1-2=0
x-1=0
x=1
x+1+2=0
x+3=0
x=-3
Solución:1,-3
4)x^2-3x-4=0
x²-3x-4=0
x²-3x-4+((25)/4)-((25)/4)=0
(x²-3x-4+((25)/4))-((25)/4)=0
(x²-3x+(9/4))-((25)/4)=0
(x-(3/2))²-((25)/4)=0
(x-(3/2))-(5/2)=0
x-(3/2)-(5/2)=0
x-4=0
x=4
(x-(3/2))+(5/2)=0
x-(3/2)+(5/2)=0
x-1=0
x=1,
Solución: 4,-1