Find the Value of k for Which the Roots Are Real and Equal in kx² + 4x + 1 = 0

Find the Value of k for Which the Roots Are Real and Equal

Solution

Given: $$kx^2+4x+1=0$$

Here, $$a=k,\quad b=4,\quad c=1$$

For real and equal roots, $$D=b^2-4ac=0$$

$$4^2-4(k)(1)=0$$

$$16-4k=0$$

$$k=4$$

Answer

The value of k for which the roots are real and equal is: $$\boxed{k=4}$$

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