For the quadratic equation ax2+bx+c+0, find the condition that
(i) one root is reciprocal of other root
(ii) one root is m times the other root
(iii) one root is square of the other root
(iv) one root is nth power of the other root
(v) the roots are in the ratio m:n
express i-39 (iota raised to the power minus 39) in the form of a+ib
how to find the multiplicative inverse of 2-3i
Express it in the polar form: (i-1) / (cospi/3) + (isin pi/3).Also Find the arguement and modulus.
find the smallest positive integer n for which (1+i)^2n =(1-i)^2n
a,b,c are three distinct real numbers and they are in G.P. If a+b+c = xb, then prove that x<-1 or x>3.
Evaluate :
2x3+2x2-7x+72,when x=(3-5i)/2
if a =cosA+isinA,find the value of (1+a)/(1-a)
PROVE THAT A REAL VALUE OF x WILL SATISFY THE EQUATION 1 - ix / 1 + ix = a - ib , if a2 + b2 =1 ; where 'a' and 'b' are real.
solve :(2 + i)x2 - (5 -i)x + 2(1-i) = 0
Show that the roots of (x-b)(x-c) +(x-c)(x-a) +(x-a)(x-b) =0 are real, and that they cannot be equal unless a=b=c.
find the square root of
If (1+i/1-i)3 - (1-i/1+i)3 = x+iy, then find (x,y)
Q. the value of 'b' for which equations
x2+bx-1=0
x2+x+b=0
have one root in common is ??
if a+ib =( (x+i)2) / (2x2 + 1)
prove that a2 +b2 =((x2 + 1)2) / (2x2 +1)2
For the quadratic equation ax2+bx+c+0, find the condition that
(i) one root is reciprocal of other root
(ii) one root is m times the other root
(iii) one root is square of the other root
(iv) one root is nth power of the other root
(v) the roots are in the ratio m:n
express i-39 (iota raised to the power minus 39) in the form of a+ib
how to find the multiplicative inverse of 2-3i
Express it in the polar form: (i-1) / (cospi/3) + (isin pi/3).Also Find the arguement and modulus.
find the smallest positive integer n for which (1+i)^2n =(1-i)^2n
a,b,c are three distinct real numbers and they are in G.P. If a+b+c = xb, then prove that x<-1 or x>3.
Evaluate :
2x3+2x2-7x+72,when x=(3-5i)/2
if a =cosA+isinA,find the value of (1+a)/(1-a)
PROVE THAT A REAL VALUE OF x WILL SATISFY THE EQUATION 1 - ix / 1 + ix = a - ib , if a2 + b2 =1 ; where 'a' and 'b' are real.
solve :(2 + i)x2 - (5 -i)x + 2(1-i) = 0
Show that the roots of (x-b)(x-c) +(x-c)(x-a) +(x-a)(x-b) =0 are real, and that they cannot be equal unless a=b=c.
find the square root of
If (1+i/1-i)3 - (1-i/1+i)3 = x+iy, then find (x,y)
Q. the value of 'b' for which equations
x2+bx-1=0
x2+x+b=0
have one root in common is ??
if a+ib =( (x+i)2) / (2x2 + 1)
prove that a2 +b2 =((x2 + 1)2) / (2x2 +1)2