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Quadratic Equations
a+b+c=0, then roots of ax^2+bx+c=0 is?
Read Solution (Total 10)
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- from a+b+c=0 we get b=-(a+c)
thr4 to find root formula is x=(-b+/-sqrt(b^2-4ac))/2a---(1)
b^2=(a^2+c^2+2ac)
b^2-4ac=(a-c)^2
Sqrt(b^2-4ac)=(a-c)
finally by subst in (1)
w get x=1 (or) x=c/a
therefore the roots are real - 11 years agoHelpfull: Yes(44) No(5)
- x(ax+b)+c=0
x(ax-a-c)+c=0
ax^2-ax-cx+c=0
ax(x-1)-c(x-1)=0
(ax-c)(x-1)=0
thus x=c/a and x=1 are the roots
- 11 years agoHelpfull: Yes(29) No(2)
- above answer submitted by Jayalakshmi.S is right but too lengthy so
you can use heat and trail method...
by putting x=1 you can get in eqn ax^2+bx+c=0 directly a+b+c=0 - 11 years agoHelpfull: Yes(24) No(3)
- ansr will be= 1 root=(a-b-c)/2a
and other root=(-a-b+c)/2a
if u hav remembrd d option plz verify - 11 years agoHelpfull: Yes(6) No(1)
- x=(-b+-sqrt(b^2-4ac))/2a
x=(-b+_sqrt((a-c)^2)/2a
x=-(a+b+c)/2a and x=(-b+a+c)/2a
x=0 and x=1
- 11 years agoHelpfull: Yes(6) No(16)
- since a+b+c=0;b=-(c+a);
root of equation=(-b+/-sqrt(b^2-4*a*c))/2*a;
after putting the value of b,we get
two roots=1,c/a;
- 11 years agoHelpfull: Yes(6) No(1)
- as the roots of quadratic equation is given by
[-b+(b^2-4ac)]/2 and [-b-(b^2-4ac)]/2
and since a+b+c=0
b=-a-c
putting this value of b in the above two eq of roots we get
x1=1/2 and x2=c/a - 11 years agoHelpfull: Yes(5) No(3)
- the roots are...
(-b (+ or -) under root of b^2-4ac) /2a - 11 years agoHelpfull: Yes(1) No(1)
- solution:
roots are 1 and -1-b/a - 10 years agoHelpfull: Yes(0) No(1)
- If you check the answer by putting the options.
If we put the X=1 ans we will get a+b+c=o... - 8 years agoHelpfull: Yes(0) No(0)
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