Question

The roots of the equation x2+ 7x + 10 =0 are (a) 2 and 5 (b)-2 and 5 (c)-2 and -5 (d) none of these

Answer 1

Answer:

c) -2 and -5

Step-by-step explanation:

Let f(x) =  x² + 7x + 10 = 0

Now, by using the 'splitting of middle terms' method;

f(x) = x² + 5x + 2x + 10 = 0

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

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

=> x = {-2 or -5}