Question

If the discriminant of the quadratic equation 3x² + x - p = 0 is 121, then p=?
(10,3, -3, -10) ☜ options.​

Answer 1

Answer:

Correct option is

D

28

Quadratic equation: 3x

2

−4x−1=0

Comparing the given equation with ax

2

+bx+c=0

we have a=3,b=−4,c=−1

Now, discriminant

D=b

2

−4ac

=(−4)

2

−4(3)(−1)

=16+12

=28.

Answer 2

Answer:

$3 {x}^{2} + x - p = 0 \\ a = 3, \: b=1 ,\: c=-p \\ \blue{\mathfrak{\underline{\large{Discriminate(D)}}}:} \\ D = {b}^{2} - 4ac \\ 121 = {1}^{2} - 4 \times 3 \times ( - p) \\ 121 = 1 + 12p \\ p = \frac{12 1- 1}{12} \\ \boxed{p = 10} \\ \blue{ \rightarrow \:option \: first \: is \: correct } \\ \\\red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$