Conditions so that equation (a1x2+b1x+c1)(a2x2+b2x+c2)=0,(a1a2>0) have

1.	Conditions so that equation (a1x2+b1x+c1)(a2x2+b2x+c2)=0,(a1a2>0) have fours real roots if (i) c1c2>0 (ii) a1c1<0 (iii) a2c2<0
Answer» Conditions so that equation $(a_{1} x^{2} + b_{1} x + c_{1}) (a_{2} x^{2} + b_{2} x + c_{2}) = 0, (a_{1} a_{2} > 0)$ have fours real roots if $(i) c_{1} c_{2} > 0$ $(i i) a_{1} c_{1} < 0$ $(i i i) a_{2} c_{2} < 0$

Conditions so that equation (a1x2+b1x+c1)(a2x2+b2x+c2)=0,(a1a2>0) have fours real roots if (i) c1c2>0 (ii) a1c1<0 (iii) a2c2<0

Answer»

Conditions so that equation $(a_{1} x^{2} + b_{1} x + c_{1}) (a_{2} x^{2} + b_{2} x + c_{2}) = 0, (a_{1} a_{2} > 0)$ have fours real roots if

$(i) c_{1} c_{2} > 0$ $(i i) a_{1} c_{1} < 0$ $(i i i) a_{2} c_{2} < 0$