Mathematics: Determine the number and types of solutions for 6m^2-3m-4=0

It is close to 200 because 150 or above would be rounded to 200. Below 150 would be 100...

Determine the number and types of solutions for

ltay92

17.03.2022

Given:

The equation is

6m^2-3m-4=0

To find:

The number and types of solutions for the given equation.

Solution:

We have,

6m^2-3m-4=0

It is a 2nd degree polynomial because the highest degree of the variable x is 2.

Number of solutions = Degree of the polynomial

Number of solutions = 2

Therefore, the given equation has 2 solutions.

In a quadratic equation ax^2+bx+c=0 , if b^2-4ac0 , then the equation has two distinct real solutions.

For the given equation, a=6, b=-3 and c=-4.

D=b^2-4ac

D=(-3)^2-4(6)(-4)

D=9+96

D=1050

Therefore, the given equation has two distinct real solutions.

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