Question

What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 25
y = 2x − 5

−4 and 0
4 and 0
−3 and −5
3 and −5

Answer 1

it is a circle and a line, so it will intersect never, once as a tangent, or twice as a secant through th ecircle

Answer 2

They give you the value for y, y=2x-5

put that into the circle equation, and solve for x
\[x^2+(2x-5)^2=25\]

Answer 3

i don't know how to do that
can you please help

Answer 4

\[x^2+(2x-5)(2x-5)=25\]
\[x^2+4x^2-10x -10x+25=25\]

Answer 5

I'm following

Answer 6

\[5x^2-20x = 0\]
\[5x(x-4) = 0\]
\[5x=0~~~~~or~~~~~x-4=0\]

Answer 7

I'm following

Answer 8

if you are following till now , you can finish er

Answer 9

so would it be -4 and 0?

Answer 10

@DanJS