Question

I need help asap i cant answer this question.​

Answer 1

a) The quadratic equation is
`ax^2 - 2x - 15 = 0`.

b) The quadratic equation is
`ax^2 - (11/10)x + 3/10 = 0`.

a) Roots are 5 and -3

We know that the product of the roots of a quadratic equation is equal to the constant term, and the sum of the roots is equal to the negative of the coefficient of the x term. Therefore, we can set up the following system of equations:

5 * (-3) = c

5 + (-3) = -b

Solving for b and c, we get:

b = -2

c = -15

Therefore, the quadratic equation is:

`ax^2 - 2x - 15 = 0`

b) Roots are 1/2 and 3/5

Again, we can set up a system of equations:

(1/2) * (3/5) = c

(1/2) + (3/5) = -b

Solving for b and c, we get:

b = -11/10

c = 3/10

Therefore, the quadratic equation is:

`ax^2 - (11/10)x + 3/10 = 0`