SOLUTION: Use the elimination method to find the TWO solutions of this system. Mark TWO answers. {y=9(x+4)^2 – 81 {y=−9(x+4)^2+81 (3, 0) (-3, 0) (5, 0) (-1, 0)

Algebra ->  Equations -> SOLUTION: Use the elimination method to find the TWO solutions of this system. Mark TWO answers. {y=9(x+4)^2 – 81 {y=−9(x+4)^2+81 (3, 0) (-3, 0) (5, 0) (-1, 0)       Log On


   



Question 1080571: Use the elimination method to find the TWO solutions of this system. Mark TWO answers.
{y=9(x+4)^2 – 81
{y=−9(x+4)^2+81

(3, 0)

(-3, 0)

(5, 0)

(-1, 0)

(-7, 0)

(-9, 0)

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+y=9%28x%2B4%29%5E2-81+
+y=-9%28x%2B4%29%5E2%2B81+
+9%28x%2B4%29%5E2-81+=-9%28x%2B4%29%5E2%2B81.......
+9%28x%5E2+%2B+8+x+%2B+16%29-81+=-9%28x%5E2+%2B+8+x+%2B+16%29%2B81
+9+x%5E2+%2B+72x+%2B+63+=+-9+x%5E2+-+72x+-+63
+9+x%5E2+%2B+72x+%2B+63+%2B9x%5E2+%2B72x+%2B63=0
+18+x%5E2+%2B+144x+%2B+126=0
+18+%28x%5E2+%2B+8x+%2B+7%29=0
+18+%28x%5E2+%2B+x%2B7x+%2B+7%29=0
+18+%28%28x%5E2+%2B+x%29%2B%287x+%2B+7%29%29=0
+18+%28x%28x+%2B+1%29%2B7%28x+%2B+1%29%29=0
18+%28x+%2B+1%29+%28x+%2B+7%29+=+0
solutions:
x+=+-7, => +y+=+0-> point (highlight%28+-7%29,highlight%280%29)
and
x+=+-1, =>y+=+0-> point (highlight%28+-1%29,highlight%280%29)

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Use the elimination method to find the TWO solutions of this system. Mark TWO answers.
{y=9(x+4)^2 – 81
{y=−9(x+4)^2+81

(3, 0)

(-3, 0)

(5, 0)

(-1, 0)

(-7, 0)

(-9, 0)
y+=+9%28x+%2B+4%29%5E2+-+81 ------- eq (i)
y+=+-+9%28x+%2B+4%29%5E2+%2B+81 ----- eq (ii)
2y = 0 ------- Adding eqs (ii) & (i)
y = 0
0+=+9%28x+%2B+4%29%5E2+-+81 ------- Substituting 0 for y in eq (i)
81+=+9%28x+%2B+4%29%5E2 ---------- Adding 81 to both sides
9+=+%28x+%2B+4%29%5E2 ------------- Dividing each side by 9
%22%22+%2B-+sqrt%289%29+=+sqrt%28%28x+%2B+4%29%5E2%29 -------- Taking square root of both sides
matrix%281%2C3%2C+%22%22+%2B-+3%2C+%22=%22%2C+x+%2B+4%29
x+=+%22%22+%2B-+3+-+4
x = 3 - 4, OR x = - 3 - 4
x = - 1 OR x = - 7
Solutions:
That's how SIMPLE this is!!