Question

A quadratic equation whose sum and product of roots are -5/6 and -1 respectively is​

Answer 1

Answer:

6x²+5x-1=0

Step-by-step explanation:

Quadratic equation is given as,

x²–(-5/6)x+(-1)=0

x²+5/6 x - 1 = 0

6x²+5x-1=0 answer

Answer 2

Answer:

6x^2 + 5x - 6 = 0

Step-by-step explanation:

Let equation be :

ax^2 + bx + c = 0 .......(1)

ATQ,

1. sum of roots i.e. -b/a = -5/6

therefore, b=5 and a=6

2. product of roots i.e. c/a = -1

since a = 6 from above therefore c= -6

Putting value in equation (1) we get

6x^2 + 5x - 6 = 0