Question

f(x) = 3x ^ 2 + 24x + 48 What is the value of the discriminant of f?

Answer 1

Solution:-

$\to {\rm given \: equation}$

$\implies \rm 3{x}^{2} + 24 + 48 = 0$

$\rm \implies3( {x}^{2} + 8x + 16) = 0$

$\rm \implies {x}^{2} + 8x + 16 = 0$

Formula

$\rm \implies \: D = {b}^{2} - 4ac$

Now compare with

$\rm \implies \: a {x}^{2} + bx + c = 0$

So

$\rm \implies \: a = 1 \: ,b = 8 \: and \: c = 16$

Put the value

$\rm \implies \: D = (8)^{2} - 4 \times 1 \times 16$

$\rm \implies \:D = 64 - 64$

$\rm \implies \:D = 0$

So Discriminant of f(x) is 0

More information about Discriminant

The discriminant is the part inside the square root. Take a moment to look for the square root and find what is inside the square root. Once you see it, you will have found the discriminant. If we isolate that part, we get the formula for finding the discriminant, 

The discriminant is easy to find when you look at the quadratic formula. The quadratic formula is the equation you use to find the solutions to quadratic equations.