Question

find the roots of the equation
n²+7n+10 = 0​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

n²+7n+10=0

using splitting middle term method

product - 10

sum - 7

Nos. that when multiplied give product 10 and when added give sum 7 are 5 and 2

So, n²+7n+10=0 can be written as

n²+5n+2n+10  (or)  n²+2n+5n+10

n(n+5)+2(n+5)   (or)  n(n+2)+5(n+2)

However we get same answer

n+5=0     n+2=0

n = -5       n = -2