SOLUTION: Find the exact solution(s) of the system: x^2/4 - y^2 = 1 and x = y^2 + 1
a. (4, sqrt3), (4, -sqrt3), (-4, sqrt3), (-4, -sqrt3)
b. (4, sqrt3), (-4, sqrt3),
c. (2,1), (2, -1),
Algebra.Com
Question 337121: Find the exact solution(s) of the system: x^2/4 - y^2 = 1 and x = y^2 + 1
a. (4, sqrt3), (4, -sqrt3), (-4, sqrt3), (-4, -sqrt3)
b. (4, sqrt3), (-4, sqrt3),
c. (2,1), (2, -1), (4, sqrt3), (4, -sqrt3)
d. (4, sqrt3), (4, -sqrt3)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
From eq. 2,
Substitute into eq. 1,
Two solutions:
Then from eq. 2,
No solution
.
.
.
Then from eq. 2,
.
.
.
(,),(,)
RELATED QUESTIONS
Find the exact solution(s) of the system: x^2/4 - y^2 and x= y^2 + 1
a. (4, sqrt3)... (answered by Fombitz)
Hi, I have been agonizing over this one for more than an hour already, so I hope someone (answered by Alan3354,stanbon)
Find the exact value of the trigonometric function at the given real number.
A... (answered by Alan3354)
(3 + sqrt24) / (6 sqrt8)
A. (3 sqrt2 + 4 sqrt3) / 24
B. (1 + sqrt3) / 2
C. (3 + 8... (answered by jim_thompson5910)
Find the vertical asymptotes, if any, of the graph of the rational function.
f(x) =... (answered by josgarithmetic,Fombitz)
Use the angle sum identities to find the exact value of the trigonometric expression tan... (answered by solver91311)
Use the angle sum identities to find the exact value of the trigonometric expression tan... (answered by jsmallt9)
Find the exact value of cos (-420 degrees)
a. -1/2
b. 1/2
c. sqrt3/2
d.... (answered by Theo)
if x=1+sqrt2+sqrt3,then find the value of... (answered by ewatrrr)