Question

Given the equations y = x2 - 4x - 5 and y + x = -1, one point that satisfies both equations is:
[1] (-2,1) [2] (4,-5) [3] (2,-9) [4] (5,0)

Answer 1

y = x2 - 4x - 5
y + x = -1.........implies y=-x-1
-x-1=x2-4x-5
0=x2-4x-5+x+1
0=x2-3x-4
0=x2-4x+x-4
0=x(x-4)+1(x-4)
0=(x+1)(x-4)
x=-1 & x=4

Answer 2

now put x in y+x=-1
for x=-1
y-1=-1
y=0
for x=4
y+4=-1
y=-5

Answer 3

(4,-5)

Answer 4

@chitij

Answer 5

than gorv

Answer 6

ans is (4,-5)

Answer 7

@chitij