F(x)=6x^2+10x−1 How many distinct real number zeros does f have?

Here, , hence the quadratic equation has two distinct real roots.

Step-by-step explanation:

Given quadratic equation is .

Let, the quadratic equation is    [where, are the constants]

The Discriminant

Case :   , if the discriminant is greater than , it means the quadratic equation has two real distinct roots.

Case : , if the discriminant is less than , it means the quadratic equation has no real roots.

Case : , if the discriminants is equal to , it means the quadratic equation has two real identical roots.

Now,

      we have , where

∴

Here, , hence the quadratic equation has two distinct real roots.

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