Question

find the zeros of quadratic polynomial x2+5+6 and verify the relation between the zeros and the coefficient
​

Answer 1

x

2

+5x+6=0

x

2

+2x+3x+6=0

x(x+2)+3(x+3)=0

(x+2)(x+3)=0

x=−2,−3

∴α=−2,β=−3

α+β=−

a

b

−2−3=−

1

5

−5=−5

αβ=

a

c

(−2)(−3)=

1

6

ax

2

+bx+c=0

S

If the roots of x

2

−ax+b=0 are two consecutive odd integers, t hen a

2

−4b is

MEDIUM