Question

If I and m are the roots of
a quadratic equation
x2
Ix + m = 0, then find the values of I and m.​

Answer 1

Step-by-step explanation:

We know that the product of the roots of a quadratic equation ax

2

+bx+c=0 is

In the given equation, x

2

+mx+24=0, the product of the roots = 24.

The question states that one of the roots of this equation = 1.5

If x1 and x2 are the roots of the given quadratic equation and let x1 = 1.5

Therefore, x2 = = 16.

In the given equation, m is the co-efficient of the x term.

We know that the sum of the roots of the quadratic equation is = -m

Sum of the roots = 16 + 1.5 = 17 = -17.5.

Therefore, the value of m = -17.5