Question

Find the quadratic whose roots are -1/2 and 3 ?

Answer 1

Answer:

Here, roots are -1/2 and 3

So,

→ sum of roots = -1/2 + 3

→ sum of roots = (-1+6)/2

→ sum of roots = 5/2

Similarly,

→ product of roots = -1/2 * 3

→ product of roots = -3/2

Hence the required equation is :

→ x² - (sum of roots)x + product of roots = 0

→ x² - (5/2)x + (-3/2) = 0

→ 2x² - 5x - 3 = 0