What is a? (fixed)

Algebra Level 3

For what values of a a does the quadratic y = a x 2 − 3 a x + 4 a + 7 y=ax^2-3ax+4a+7 have real roots?

-4≤a≤0 0≤a≤4 a<-4,a>0

Charley Shi by Charley Shi , 19, New Zealand

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

X X
Jul 4, 2018

The discriminant must not be negative. ( − 3 a ) 2 − 4 a ( 4 a + 7 ) = − 7 a 2 − 28 a ≥ 0 , a ( a + 4 ) ≤ 0 , − 4 ≤ a ≤ 0 (-3a)^2-4a(4a+7)=-7a^2-28a\ge0,a(a+4)\le0,-4\le a\le0

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...