Question

If one of the roots of the quadratic equation 3x^2+kx+6=0 is 1.5, then what is the value of k?

Answer 1

that was wrong

Answer 2

but in fact we can find it a couple different ways. you know that the product of the roots is
\[\frac{c}{a}\] and the sum is
\[-\frac{b}{a}\]

Answer 3

(3x+a)(x-1.5)
3x^2+ax-4.5x-1.5a
1.5a=6
a=-4
k=-8.5

Answer 4

Thank you so much!