Question

for what values of a is the ratio of the roots of equation ax^2-(a+3)x+3=0equal to 1.5
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Answer 1

plz brailiest

Step-by-step explanation:

ax

2

−(a+3)x=0

Let the roots be α and 1.5α

Sum=2.5α=

a

a+3

Product=1.5α

2

=

a

3

2

5

α=1+

a

3

2

5

α=1+

2

3

α

2

3α

2

−5α+2=0

3α

2

−3α−2α+2=0

(3α−2)(α−1)=0

∴α=

3

2

or 1

1.5α

2

=

a

3

a=

3α

2

3x

2

a=

α

2

2

for α=1 a=2

for α=

3

2

, a=

4

2×9

, a=

2

9