Find the value of k for which the equation 4x^+kn+8=0 has real and equal root.
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Answer: k = 8√2
Step-by-step explanation:
for real and equal roots the D = b^2-4ac (i.e discriminant ) should be equal to zero.
using above : D = b^2 -4ac =0 -(1)
here equation is 4 x^2 + kx + 8 =0 comparing it with general equation
ax^2 + bx +c =0
we get a=4 , b=k , c=8
using (1) we get k^2 -4*4*8 =0
solving k^2 = 4*4*8
taking square root
ans k = 8√2
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