Question

If 1 zero of 2x² - 3x + K and (a²+9) x2 + 13x +6a is reciprocled to one another, then find the value of K and a​

Answer 1

Answer

p(x)=2x²-3x+K

g(x)=(a²+9)x2+13x+6a

If g(x)=0

=> (a²+9)x2+13x+6a=0

=> a+9x15x6a=0

=> 9a x15x6a=0

=> 9ax6ax15=0

=> 15a²x15=0

=> 15a²=0 divided 15

=> 15a²=15

=> a²=15

15

=> a²=1

p(1)=> 2(1)²-3(1)+k=0

=> 2-3+k=0

=> 1+k=0

=> k=-1