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please answer? options for the second box: (there is no solution) (there is one solution) (there is two solution)

please answer? options for the second box: (there is no solution) (there is one solution-example-1

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Solution

We are given


y=4x^2+15x-4

Here


\begin{gathered} a=4 \\ b=15 \\ c=-4 \end{gathered}

The discriminant D is


\begin{gathered} D=b^2-4ac \\ D=15^2-4(4)(-4) \\ D=225+64 \\ D=289 \end{gathered}

Since, the discriminant is positive, we have two x- intercept

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