Question

If the roots of the equation mx²- 3mx+9=0 are real and equal, find the
value of m.​

Answer 1

Answer:

We know that the product of the roots of a quadratic equation ax2+bx+c=0 is

In the given equation, x2+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