I have to sketch such a problem to see what I am doing.
x^2 /2^2 -y^2/1^2 = 1
is a hyperbola centered on the origin and opening right and left.
the right vertex is at x = 2 and the left at -2
the slope of the arms at infinity is +/- 2
The other curve is a parabola
y^2 = x - 1
y = +/- sqrt(x-1)
vertex at x = 1, y = 0
So I should get two solutions (if there are any solutions) at the same x and y the same absolute value, opposite signs.
(y^2+1)^2/4 - y^2 = 1
let z = y^2
(z+1)^2 - 4 z = 4
z^2 + 2 z + 1 - 4 z = 4
z^2 -2 z -3 = 0
(z-3)(z+1) = 0
z = 3 or z = -1
but z = y^2
y^2 = 3
y = +/- 3 THOSE ARE THE ONES
y^2 = -1
y = +/- sqrt(-1) imaginary (corresponds to the left half of the hyperbola where the parabola never goes)
Right? PLEASE say yes
Yes, the answer is D
There is also an imaginary solution
x = 0, y = +/- i
Math - Find the exact solution(s) of the system: x^2/4-y^2=1 and x=y^2+1 A)(4,...
Algebra - Find a polynomial function of degree 3 with the given numbers as zeros...
to bobpursley,math,correction - (sqrt3 + 5)(sqrt3 -3) ? multiply that out sqrt3*...
Algebra - Rationalize denominator, all variables positive real numbers and ...
Algebra II (check) - Assume that no denominator equals 0. sqrt12 - sqrt18 + ...
Calculus - Find the equation (in terms of x and y) of the tangent line to the ...
math, algebra,correction - I don't know if this is right. directions: Simplify ...
trig - How can I get rid of the square roots in this fraction? sqrt((2-sqrt3))/...
math b - Combine the radicals sqrt 72 + sqrt 18 6sqrt7 - 4sqrt7 Multiply & ...
Calculus - Hi. How can I integrate 1/(X^3 +1) ? Thank you to anyone who can help...