The graph represents the relation y = xo2 – 3x – 3. Find the value of x for which x2 – 3x = 7
-
A.
-1.55, 4.44 -
B.
1.55, -4.55 -
C.
-1.55, -4.55 -
D.
1.55, 4.55
Correct Answer: Option A
Explanation
x2 – 3x = 7
x2 – 3x – 7 = 0
What can you add to both sides of the equation to give the same value of y = x2 – 3x – 3
The number is 4
x2 – 3x – 7 + 4 = 4
x2 – 3x – 3 = 4
but y = x2 – 3x – 3
y = 4; So are y = 4 draw a line parallel to x axis, to cut or intersect the graph. At these points look down to see the corresponding values on x axis
This give -1.55 and 4.55