Question 639601
you have y = x^2 and you have y = 6x - 5
since they are both equal to y, then they are both equal to each other and you get x^2 = 6x - 5
subtract 6x and add 5 to both sides of this equation to get x^2 - 6x + 5 = 0
this a quadratic equation whose factors are (x-5) * (x-1)
your equation becomes (x-5) * (x-1) = 0
since each of these factors can be set equal to 0, you get:
x-5 = 0 and x-1 = 0
solve for x in both these equations to get x = 5 and x = 1