Question

The curve y= x² - 6x + 5 meets the y axis at A and the x-axis at B and C, how do you find the coordinates of A, B and C?

Answer 1

Hence it meets the yy' axis at A then `x=0` hence `y=0^2-6*0+5=>y=5` so A is `(0,5)`

For the xx' axis we have that `y=0` so `x^2-6x+5=0=>(x-5)*(x-1)=0=>x_1=5 or x_2=5`

Hence B is `(5,0)` and C is `(1,0)`