Question

What is the solution to Y=x-5 and x^2+y^2=30^?

Answer 1

Hi @trug

Answer 2

@trug first substitute the linear equation into the quadratic equation and solve for a variable. Then find the other variable. You may have more than one solution since there is a quadratic equation. Good Luck!

Answer 3

Ok draw the graphs of both the ellipse and the straight line. the points of intersection are the required solution. @trug

Answer 4

Sketching may not always yield accurate or exact results unless performed by a graphing calculator. Although I believe you are supposed to find a solution algebraically.

Answer 5

I don't really know how to go about any of that, since there is a ? for a power. i can get it into a quadratic equation but I'm lost after that @calculusfunctions @Princer_Jones

Answer 6

y=x-5 putting this value of y in the other equation we have x^2+(x-5)^2=30 what did you get after simplifying this equation @trug ?

Answer 7

the question is incomplete then???

Answer 8

after simplifying you get 2x^2-25=30^? right?

Answer 9

what is 30^ ???

Answer 10

@Princer_Jones I have no idea it's just what it says on the worksheet 30 raised to the ? power

Answer 11

how would you go about solving it if you just completely disregarded the ?

Answer 12

see ^ means raised to the power. here a term is missing after ^ in the question

Answer 13

the term is the ?

Answer 14

see the question... how can i say what is written in the book/?.:)

Answer 15

Usually questions end in question marks. Maybe the ^ is a type-o.

Answer 16

ok lets just completely blow off the ? how would you solve it if it were just Y=x-5 and X^2+Y^2=30

Answer 17

that could be it @freckles

Answer 18

Ohkay substitute y=x-5 in the second equation and we have x^2+(x-5)^2=30 this implies x^2+x^2-10x+25=30 this implies 2x^2-10x-5=0 from here you get two values of x and putting these two values of x in y=x-5, you get the value of y

Answer 19

do you solve for the two x's individually?

Answer 20

just the quadratic formula to compute the values of x

Answer 21

so the solutions are 2 and -4?

Answer 22

Wait, or is it X= 5-√ 5 and X= 5+√ 5
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2 2

Answer 23

check it

Answer 24

@trug