The discriminant (D) of a quadratic polynomial of the form $ax^2+bx+c$ is calculated using the following formula, where $a$, $b$ and $c$ are the coefficients of the corresponding terms
From the equation, we see that $a=-1$, $b=7$ and $c=-10$. Replacing the values of $a$, $b$ and $c$ in the previous formula, we obtain
Multiply $-1$ times $4$
Multiply $-4$ times $-1$
Multiply $4$ times $1$
Multiply $4$ times $-10$
Calculate the power $7^2$
Subtract the values $49$ and $-40$
The discriminant of the polynomial results in
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