Question

find the value of a for which one of the roots of the quadratic equation ax2-15x+9=0 is 4 times the otheer root
Plz send help

Answer 1

Answer:

We have

9x2−15x+6=0

⇒x2−915x+96=0 (Dividing throughout by 9)

⇒x2−35x+32=0⇒x2−35x=−32 (Shifting the constant term on RHS)

⇒x2−2(65)x+(65)2=(65)2−32 (Adding square of half of coefficient of x on both sides)

⇒(x−65)2=3625−32⇒(x−6