SOLUTION: x^2-5x-14

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Question 196070: x^2-5x-14
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given Quadratic Eqn, x%5E2-5x-14=0

X-Intercept of the vertex,
x=-b%2F2a=-%28-5%29%2F%282%2A1%29=red%285%2F2%29

Y-Intercept, substitute x=5%2F2 or x=2.5
y=%285%2F2%29%5E2-5%285%2F2%29-14
y=6.25-12.5-14
red%28y=-20.25%29


For the x-intercepts:
Discriminant: b%5E2-4ac=-5%5E2-4%281%29%28-14%29=25%2B56=81
Then,
x=%28-%28-5%29%2B-sqrt%2881%29%29%2F%282%2A1%29=%285%2B-9%29%2F2
x=%285%2B9%29%2F2=14%2F2=red%287%29
x=%285-9%29%2F2=-4%2F2=red%28-2%29


Thank you,
Jojo