Find the value of k if the discriminant = 0?

Question

x #x^2 -3x+2+1/k=0#

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Answer 1 · 2017-11-10T12:31:12

#k=4#

The equation is #x^2-3x+2+1/k=0#

Here,

#a=1# , #b=-3# , #c=2+1/k#

According to the question the discriminant is equal to #0#

We know the determinant of a quadratic equation is #b^2-4ac#

Therefore,

#b^2-4ac=0#

#b^2=4ac#

Substitute the values of #a# , #b# and #c#

#(-3)^2=4 xx 1 xx (2+1/k)#

#9=8+4/k#

#9-8=4/k#

#1=4/k#

#k=4#