At which points are the equations y = x2 + 5x - 2 and y = x + 1 equal?
Accepted Solution
A:
Answer:When they are equal, y=y, so we can say:x^2+5x-2=x+1 subtract x from both sidex^2+4x-2=1 add 2 to both sidesx^2+4x=3, now add half the linear coefficient squared, (4/2)^2=4x^2+4x+4=3+4 now the left side is a perfect square(x+2)^2=7 now take the square root of both sidesx+2=±√7 subtract 2 from both sidesx=-2±√7x=-2+√7 and -2-√7y=x+1 the two points where these equations are equal are:(-2-√7, -1-√7) and (-2+√7, -1+√7)or approximately:(-4.65, -3.65) and (0.65, 1.65)Step-by-step explanation: