Question

*Find the value of the discriminant of the quadratic equation 4m² + 8m + 3 = 0*

1️⃣ 112
2️⃣ 16
3️⃣ 15
4️⃣ -80​

Answer 1

4m^2 + 8m + 3 = 0

${ax}^{2} + {bx} + c = 0$

$d = {b}^{2} - 4ac$

Ans) d = 8^2 - 4×4×3

d = 64 - 48

d = 16

Discriminate of this quadratic equation is

16.

Answer 2

Answer:

Value of discriminant = 16 (Option 2)

Step-by-step explanation:

Given: A quadratic equation $4m^{2} +8m+3$

To find: Discriminant of the above given quadratic equation

Steps to solve:

The discriminant is the quadratic formula section behind the square root symbol: $b^{2} -4ac$. The discriminant indicates whether there are two solutions, one solution, or none at all.

The discriminant, which can be positive, zero, or negative, defines the number of solutions to the given quadratic equation.

A positive discriminant suggests that there are two unique real number solutions to the quadratic.

When the discriminant is 0, the quadratic has a repeating real number solution.

A negative discriminant means that neither solution is a real number.

$a=4, b=8, c=3\\D=b^{2} -4ac\\D=8^{2} -4*4*3\\D=64-48\\D=16$

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