Question

find the roots of quadratic equation ​

Answer 1

Answer:

- 24/13 and 5

Step-by-step explanation:

Given : p(x) = 13x² - 41x - 120

Using Middle Term Factorisation, we get

→ p(x) = 13x² - 65x + 24x - 120

→ p(x) = 13x(x - 5) + 24(x - 5)

→ p(x) = (13x + 24)(x - 5)

To find the roots, these factors should be equal to zero.

Using zero product rule, we get

→ (13x + 24) = 0 and (x - 5) = 0

→ x = - 24/13 and x = 5

Hence, the roots of the above quadratic equation is - 24/13 and 5.