Question

20 POINTS! FIRST CORRECT ANSWER WILL MAKE BRAINIEST!!!!!!!!!
Use Vieta's Theorem to solve the problems. The difference of the two solutions of x2+19x+c=0 is 15. Find c.

Answer 1

Answer:

c = 34

Step-by-step explanation:

x = [-19 +/- sqrt(19² - 4(1)(c)]/2

x = [-19 +/- sqrt(361 - 4c)]/2

The difference of the roots would be:

sqrt(361 - 4c) = 15

361 - 4c = 15²

361 - 225 = 4c

4c = 136

c = 34