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Arte-miy333
[17]
3 years ago
5
A curve with equation y = x^2 + 2x + 3 crosses a straight line with equation y = x+9 in two places. Find the coordinates of the
two points where the lines intersect.
GUYS PLEASE HELP ME WITH THIS QUESTION. PLEASE LEAVE STAGES
Mathematics
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answer:
ira
[324]
3 years ago
6
0
Got you fam or whatever people say....
We have equation 1 and 2
1.
2.
Because equation 2 is simple and isn't quadtratic, we will insert 2 into 1,
Then factor
x² +x -6=0
(x+3)(x-2)=0
x= -3, 2
Then using the values of x insert into either equation 1 or 2 to find y. I'm doing 2 because I'm lazy
y= x+9
when x=-3
y=x+9
= -3+9
= 6
(-3,6)
when x =2
y=x+9
= 2+9
= 11
(2,11)
Hence the co-ordinates are (2,11) and (-3,6)
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