Question

Q.8. Find the roots of the following quadratic equations by factorisation:
x2 – 3x - 10 = 0​

Answer 1

Step-by-step explanation:

x^2-3x-10=0

x^2-5x+2x-10=0

x(x-5) 2(x-5)=0

(x-5) (x+2)=0

x=(5,-2)

roots are (5,-2)

Answer 2

Answer:The roots are -2 and 5

Step-by-step explanation:

Given that x² - 3x - 10 = 0

By splitting the middle term, we get,

x² - 5x + 2x - 10 = 0

ie, x(x - 5) + 2(x - 5) = 0

ie, (x + 2)(x - 5) = 0

ie, x + 2 = 0      and     x - 5 = 0

ie,  x = -2          and     x = 5