Question

x2 + x -12=-15

x2+9x+8=8


x2+10x+24=-1

Answer 1

2x+x-12=-15
3x=-15+12
3x=-3
X=-3/3
X=0

2x+9x+8=8
11x=8-8
11x=0

2x+10+24=-1
2x=-1-10-24
2x=-35
x=17,5

Answer 2

x²+x-12+15=0
x²+x+3=0
a=1
b=1
c=3
Δ= b² - 4.a.c
Δ=(1)² - 4.1.3
Δ=1-12
Δ= - 11 ⇒ raiz inexistente

x²+9x+8=8
x²+9x+8-8=0
x²+9x+0=0
a= 1
b=9
c=0
Δ= b² - 4.a.c
Δ= (9)² - 4.1.0
Δ= 81
x=-b±√Δ / 2.a
x= -9 ± √81 / 2.1
x= -9 ± 9 / 2
x' = -9 + 9 / 2 = 0/2 =0
x'' = -9 -9 / 2= -18 / 2 = -9

x² + 10x+ 24 =-1
x²+ 10x + 24+1=0
x²+10x + 25=0
a=1
b=10
c=25
Δ= b²- 4.a.c
Δ= (10)²-4.1.25
Δ=100-100
Δ=0
x=-b±√Δ / 2.a
x=-10±√0 / 2.1
x=-10±0/2
x' e x''=-10+0/2 = -10/2 = -5