for what value of k, the equation 4x square+5x+1k=0 has equal root ?F
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Step-by-step explanation:
Given: quadratic equation kx
2
+4x+1=0, has real and distinct roots
To find the value of k
Sol: An equation has real and distinct roots if the discriminant b
2
−4ac>0
In the given equation, a=k,b=4,c=1
Therefore the discriminant is 4
2
−4(k)(1)>0
16−4k>0
⟹4k<16
Therefore, k<4
I hope this is helpful for you
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