Question

If 3 and 3 are the roots of x^2+ax+b and 8 and 2 are the roots of x^2+ax+b=0,then find the roots of x^2+ax+b=0 are

Answer 1

Answer:8,2 are the roots of x  

2

+ax+β=0

⇒a=−(8+2)=−10

3,3 are the roots of x  

2

+αx+b=0

⇒b=(3)(3)=9

x  

2

+ax+b=0

⇒x  

2

−10x+9=0

⇒x  

2

−9x−x+9=0

⇒x(x−9)−1(x−9)=0

⇒(x−9)(x−1)=0

∴x=9orx=1

Step-by-step explanation: