2x4-87a) Ifp(x)=a+bxtc and Q(x)--ax+bx+c,where a#0 show that the equat

1.	2x4-87a) Ifp(x)=a+bxtc and Q(x)--ax+bx+c,where a#0 show that the equation p(x) , Q(x)-ohas at least two real roots.(Or)
Answer» For the first equation without loss of generality assume a>0 then since none of a and c is zero graph of P(x) will be -ve at -infinity and +ve at +inifinty so it will cut x axis at once atleast Same is the case with Q(x) So totally the P(x)Q(x)=0 will have atleast 2 real roots hit like if you find it useful

2x4-87a) Ifp(x)=a+bxtc and Q(x)--ax+bx+c,where a#0 show that the equation p(x) , Q(x)-ohas at least two real roots.(Or)

Answer»

For the first equation without loss of generality assume a>0

then since none of a and c is zero

graph of P(x) will be -ve at -infinity and +ve at +inifinty

so it will cut x axis at once atleast

Same is the case with Q(x)

So totally the P(x)Q(x)=0 will have atleast 2 real roots

hit like if you find it useful