Question

If 2 and -3 are the roots of qiadratic equation then find the equati

Answer 1

Answer:

let the. two roots be p,q.

if the roots are p,q then quadratic equation is

x^2-(p+q)x+(pq)....

p=2,q=3...

p+q=2-3=-1..

pq=2(-3)=-6....

there fore the quadratic equation is....

x^2-(-1)X+(-6)

x^2+x-6....

hope it help you follow mee and mark me as BRAINLIEST...

Answer 2

Let the quadratic equation be

ax^2 + bx + c

The zeroes of the quadratic polynomial are

2 and -3

Let,

m = 2

n = -3

m + n = - b/a

mn = c/a

Let,

a = 1

then,

m + n = - b/a

2 + -3 = - b/1

- 1 = - b

b = 1

and

mn = c/a

- 3 × 2 = c/1

- 6 = c

c = - 6

Therefore the quadratic equation is

x^2 + x - 6