Question

uadratic Equation
is
1-a 1-B
and
1+ a
1+ B
d) 2x2-x-3 = 0[
1. If a and B are the roots of 2x²+x+3 = 0, then the equation whose roots are
]
c) 2x² + x - 3 = 0
a) 2x2 + x + 3 = 0
b) 2x2 - X+3 = 0
​

Answer 1

Step-by-step explanation:

ANSWER

α+β=

2

3

And

α.β=−3

Therefore,

α

2

+β

2

=(α+β)

2

−2αβ

=

4

9

+6

=

4

33

Hence, the equation will be

x

2

−(

4

33

+4)x+(9+2(

4

33

+4)=0

4x

2

−49x+118=0.