Answer :

We start with the quadratic equation

[tex]$$-4x^2 - 7x - 6 = 0.$$[/tex]

The discriminant of a quadratic equation of the form

[tex]$$ax^2 + bx + c = 0$$[/tex]

is given by

[tex]$$\Delta = b^2 - 4ac.$$[/tex]

For our equation, the coefficients are

[tex]$$a = -4,\quad b = -7,\quad c = -6.$$[/tex]

Step 1: Compute [tex]$b^2$[/tex].

[tex]$$b^2 = (-7)^2 = 49.$$[/tex]

Step 2: Compute [tex]$4ac$[/tex].

[tex]$$4ac = 4 \cdot (-4) \cdot (-6) = 96.$$[/tex]

Step 3: Calculate the discriminant.

[tex]$$\Delta = b^2 - 4ac = 49 - 96 = -47.$$[/tex]

Thus, the discriminant of the quadratic equation is [tex]$\boxed{-47}$[/tex].

Thanks for taking the time to read What is the discriminant of the quadratic equation tex 4x 2 7x 6 0 tex A 145 B 47 C 145 D 47. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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