Answer:
Their scores are 9 and 21
Step-by-step explanation:
Let's say that their scores are X
In Quadratic formula:
The sum is -B/A and Product is C/A
We create the quadratic formula then solve for x:
- Assume that the value of A is 1
Sum = -b/A
30 = -b/A
30 = -b/1
30(1) = -b
30 = -b
-30 = b
Product = C/A
189 = C/A
189 = C/1
189 = C
Now , we formulate the equation:
Solving for x:
- x²-30x+189 = 0
- (x-9)(x-21) = 0
For the first score
For the second score
==============================
checking:
Sum = 9 + 21
Sum = 30
Product = 9 × 21
Product = 189
Both are correct , therefore the scores are 9 and 21
