SOLUTION: Carlos scored 15 more points than John in the baseball game. If the product if the two point totals is 154, how many points did each boy score?

Question 40560: Carlos scored 15 more points than John in the baseball game. If the product if the two point totals is 154, how many points did each boy score?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Carlos scored 15 more points than John in the baseball game. If the product if the two point totals is 154, how many points did each boy score?
Let number of John points be "x"
The number of Carlos points is "x+15"
EQUATION:
x(x+15)=154
x^2+15x-154=0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=841 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, -22. Here's your graph:

Hope this helps.
Cheers,
Stan H.
RELATED QUESTIONS
Carlos scored 15 more points than John in the basketball game. If the product of the two... (answered by fractalier)

in the championship game, julius scored 5 points less than kareem, and wilt scored 1... (answered by amoresroy,ewatrrr)

in one basketball game Maria scored three times as many points as holly. in the next... (answered by Paul)

Juan scored five more 2-points shots than 3-points shots in his Friday basketball game.... (answered by checkley77)

bEN SCORED 7 MORE POINTS THAN jACK IN A BBALL GAME, PAUL SCORED 2 POINTS LESS THAN JACK... (answered by rapaljer)

Max made 12 shots in the basketball game. All were either 2 or 3 point shots. If he... (answered by TimothyLamb)

Please help. This is for G.E.D. Evaluative Test, Mathematics part 1. I am terrible with (answered by ankor@dixie-net.com,mszlmb)

Five players on the East High basketball team all scored a different number of points in... (answered by Earlsdon)

Bill and Thomas scored a total of 48 points in the basketball game. If Bill scored twice... (answered by lwsshak3)