What value ofm for which two roots of the quadratic equation 4x2+4(3m-

1.	What value ofm for which two roots of the quadratic equation 4x2+4(3m-1)x+(m+7)-0reciprocal to each other.
Answer» EQUATION-x²+x(2m-2)+(m+5) If the roots are to be real and equal then the value of discriminant(D) is to be 0. D=0 (2m-2)²-4(m+5)=0 4m²-12m-16=0 Taking 4 as common, we get- m²-3m-4=0 m²+4m-m-4=0 m(m+4)-1(m+4)=0 (m-1)(m+4)=0 Therefore m=1 or m=-4

What value ofm for which two roots of the quadratic equation 4x2+4(3m-1)x+(m+7)-0reciprocal to each other.

Answer»

EQUATION-x²+x(2m-2)+(m+5)

If the roots are to be real and equal then the value of discriminant(D) is to be 0.

D=0

(2m-2)²-4(m+5)=0

4m²-12m-16=0

Taking 4 as common, we get-

m²-3m-4=0

m²+4m-m-4=0

m(m+4)-1(m+4)=0

(m-1)(m+4)=0

Therefore m=1 or m=-4