Equation of an ellipse:
(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1
2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9
Then the final equation is:
x²/25 + y²/9 = 1
You need to add the two quadratics together...
x^2+11x-6+6x^2-3x+9
7x^2+8x+3
Answer:
0
Step-by-step explanation:
Simplifying
x2 + -4x + -12 = 0
Reorder the terms:
-12 + -4x + x2 = 0
Solving
-12 + -4x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0
The answer to the question