Question

If x-2 and x-1/2 are factors of px²+5x+r , then show p = r​

Answer 1

Answer:

x-2 and x-1/2 are the factors of px^2+5x+r

so the quadratic equation is

(x-2)(x-1/2)=0

=> x^2-2x-1/2x+1=0

=> x^2-5x/2+1=0

=> 2x^2-5x+2=0

=> -2x^2+5x-2=0

comparing the upper equation

here p= -2

r= -2

so, p =r = -2