Respuestas
Respuesta:
a) x² + 2x -15=0
x²+5x-3x-15=0
x(x+5)-3(x+5)=0
(x+5) (x-3)=0
x+5=0
x-3=0
x= -5
x=3
b) x²+4=4x
x²-4x+4=0
(x-2)²=0
x-2=0
x= 2
c) x²-5x-6=0
x²+x-6x-6=0
x(x+1)-6(x+1)=0
(x+1)(x-6)=0
x+1=0
x-6=0
x= -1
x= 6
d) 2+ x² -3x =0
x² -3x +2 =0
x² -x-2x+2=0
x(x-1) -2 (x-1)=0
(x-1) (x-2) =0
x-1=0
x-2=0
x=1
x=2
e)
x²=6x+20+2x
x²=8x+20
x²-8x-20=0
x²+2x-10x-20=0
x(x+2)-10(x+2)=0
(x+2) (x-10)=0
x+2=0
x-10=0
x= -2
x= 10
f)8x= 9-x²+2x
8x+9+x²-2x=0
6x+9+x²=0
x²+6x+9=0
(x+3)²=0
x+3=0
x= -3
g) 2x²+20= -10x
x²+10= -5x
x²+10+5x=0
x²+5x+10=0
x= -5+√52-4×1×10
_______________
2×1
x= -5+√25-40
_____________
2
x= -5 +√-15
___________
2
x e/ R
h) x²-4x= -2x+5
x²-4x+2x-5=0
x²-2x-5=0
x= -(-2)+√(-2)²-4×1(-5)
__________________
2×1
x= 2+√4+20
___________
2
×= 2+√24
__________
2
x= 2+2√6
_________
2
x= 2+2√6
_________
2
×= 1+√6