Question

If the zeroes of the polynomial x2 + 7x + 10 are a + b and a - b, then a =______
and b=_____​

Answer 1

Answer:

zeroes :

x2 + 7x + 10

x2 + 5x + 2x + 10

x ( x + 5 ) + 2 ( x + 5 )

( x + 2 ) ( x + 5 )

therefore zeroes are -2 and -5

A/C,

a+b = -2 ------ (1)

and

a-b = -5-------(2)

add equation (1) and (2).

a + b = -2

+ a - b = -5

_____________________

2a = -7

a = -7/2

a+b = -2

-7/2 + b = -2

b = -2 - -7/2

b = ( -4 - -7)/2

b = 3/2