Question

If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equation whose roots are ‘3y1’ and ‘3y2’.

Q: Answer-If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equ...

For an equation of the form ax2 bx c 0, Sum of roots -ba Product of roots ca Sum of roots y1 y2 255 5 5 Product of roots y1 y2 155 3 Sum of roots of required equation 3y1 3y2 3 y1 y2 3 5 15 Product of roots of required equation 3y1 3y2 9 y1 y2 9 3 27 Quadratic equation is y2 sum of roots y product of roots. So, required equation y2 15y 27 0