Explanation for Question 26 From the Math (Calc) Section on the 2018 May Sat
Question 26 as the equation above is graft in the X, 2 Y plane. If H and K are positive constants and H is not equal 3 to K how many distinct X intercepts does the graph have? 4 So you can figure out what the X intercepts of a graph are from 5 its equation. If it's factored like this. 6 And that's because an equation has an X intercept when it's set 7 to zero. So like when Y is equal to zero and when the X 8 values plugged in and it still equals zero. 9 So if you realize what this equation that we have written out here, 10 X minus H squared, X plus age and X plus K, 11 if any of these numbers in the parenthesis equals zero, 12 then the whole equation will equal zero. And it is an X intercept because 13 anything, times zero is equal to zero, 14 which means that we just have to take each individual section and set it 15 to zero to find what its X intercepts are. 16 And from that, we figure out that the X intercepts are X is equal 17 to H X is equal to negative H and X is equal to negative 18 K, which means that there are three distinct X intercepts and that's C is 19 the correct.