Question

The condition that sin 0, cos may be the roots of ax² + bx + c = 0 is
a) a (a + 2b) = c^2
b) a (a + 2c) = b
c) b(b + 2c)= a^2
d) b(b + 2a) =​c^2

Answer 1

x2+b/a x +c/a=0

x2 + 2[b/2a]x= -c/a

a2 + 2ab+ b2 =(a+b) 2

x2 +2 [b/2a ]x+[b/2a]2=c/a+[b/2a]2

[x+2/2a]2=c/a+b2/4a2

[x+b/2a]2=b2/4a2-4ac/4a2

[x+b/2a]2=b2-4ac/4a2

x+b/2a =+-√b2-4ac/4a2

x+b/2a=+-√b2-4ac/2a

x=-b+-√b2-4ac/2a