Question

If x =a+2,find the value of a from the equation:a- x-3/3=2/3(4-x)

Answer 1

Answer:

If x=

3

2

,x=−3 are roots of the equation ax

2

+7x+b=0 then

(x−

3

2

)(x−(−3))=0

⇒(x−

3

2

)(x+3)=0

⇒x

2

−

3

2

x+3x−2=0

⇒x

2

+

3

7

x−2=0

⇒3x²+7x−6=0

Compare the equation with ax²+7x+b=0

Therefore, a=3,b=−6