Determine the number of $$ x $$-intercepts of the graph of $$ f(x)=a x^{2}+b x+c(a
eq 0) $$, based on the discriminant of the related equation $$ f(x)=0 $$. (Hint: Recall that the discriminant is $$ b^{2}-4 a c $$.) $$ f(x)=5 x^{2}-9 x-2 $$ Part: $$ \mathbf{0 / 2} $$ Part 1 of 2 The discriminant is

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Determine the number of $$ x $$-intercepts of the graph of $$ f(x)=a x^{2}+b x+c(a 
eq 0) $$, based on the discriminant of the related equation $$ f(x)=0 $$. (Hint: Recall that the discriminant is $$ b^{2}-4 a c $$.) $$ f(x)=5 x^{2}-9 x-2 $$ Part: $$ \mathbf{0 / 2} $$ Part 1 of 2 The discriminant is

UpStudy AI · Accepted Answer

The quadratic function is given by

$$
f(x)=5x^2-9x-2,
$$

where $$ a=5 $$, $$ b=-9 $$, and $$ c=-2 $$.

The discriminant $$\Delta$$ is given by

$$
\Delta = b^2 - 4ac.
$$

Substituting the values, we have

$$
\Delta = (-9)^2 - 4(5)(-2) = 81 + 40 = 121.
$$

Thus, the discriminant is $$\mathbf{121}$$.
The discriminant is 121.

Determine the number of -intercepts of the graph of , based on the discriminant of the
related equation . (Hint: Recall that the discriminant is .)

Part:
Part 1 of 2
The discriminant is

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Determine the number of -intercepts of the graph of , based on the discriminant of the related equation . (Hint: Recall that the discriminant is .) Part: Part 1 of 2 The discriminant is