Question

Use algebra to find each point at which the line (x-2y=-5) intersects the circle (x^2 + y^2 = 10)

Answer 1

taking line x-2y=-5
x = 2y-5

substitute this x in circle equation
then u will get a quadratic equation, simplify it

Answer 2

you will get 2 x values again by substituting x values in line equation get corresponding y values
you will now have two pairs of points (x1,y1) and (x2,y2) thats it!

Answer 3

x= 2y+5 circle x^ +y^=10
2y+5^ +y^=10
4y^+20y+25+y^=10
where does 20y come from sorry 10 years since i did math

Answer 4

(2y+5)(2y+5)=2y*2y+2y*5+5*2y+5*5=4y^2+10y+10y+25=4y^2+20y+25