Question

How many solutions does the following quadratic equation have? Write your answer as an integer.

9x^2 - 24x + 16 = 0

Answer 1

It will have the same number of solutions as the power to which it is raised. The highest power is 2, so it has 2 solutions. This is an "always" type of rule.

Answer 2

\[(3x- 4)^{2}=0\]

Answer 3

you could find the determinant by aplying this equation:

\[b ^{2}-4ac =\]

Answer 4

Double root of 4/3

Answer 5

for an equation:\[ax ^{2} + bx +c = 0\]

Answer 6

where a, b, and c are constant coefficients

Answer 7

Double root means two identical solutions, whether you would call that one solution or two depends on your teacher lol. I would call it 1 solution of 4/3.

Answer 8

for our equation:

a = 9,
b=-24
c=16,

pluggin that values, in order to find the determinant:

\[(-24)^{2}-4(9)(16) = ?\]

Answer 9

\[\Delta > 0\] two real solutions
\[\Delta = 0\] one real solution
\[\Delta < 0\] no real solutions

where\[\Delta = determinant\]

Answer 10

A graph of the function reveals a parabola with one x axis intercept, and that is at the vertex.