Question

find the value of k if the equation x square+4x+k=0 has real and distinct root​

Answer 1

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Explanation:

Given :

If the equation ${x}^{2} + 4x + k = 0$has real and distinct roots.

To Find:

Value of k

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what is real and distinct roots?

Real and distinct roots means all the roots of equation we find will not be equal to each other.

Here ,a=1,b=4 and c=k

we apply D formula here

$\bold{\boxed{D= {b}^{2} - 4ac}}$

$=>D= {(4)}^{2} - 4 \times (1) \times (k)$

$=>D = 16 - 4k$

For Having real and distinct roots there must be

D>0

$=>16 - 4k > 0$

$=>4k < 16$

$=>k < 4$

Therefore,The value of K<4

Answer 2

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Explanation:

Given :

If the equation ${x}^{2} + 4x + k = 0$has real and distinct roots.

To Find:

Value of k

ㅤㅤㅤㅤㅤㅤㅤ

what is real and distinct roots?

Real and distinct roots means all the roots of equation we find will not be equal to each other.

Here ,a=1,b=4 and c=k

we apply D formula here

$\bold{\boxed{D= {b}^{2} - 4ac}}$

$=>D= {(4)}^{2} - 4 \times (1) \times (k)$

$=>D = 16 - 4k$

For Having real and distinct roots there must be

D>0

$=>16 - 4k > 0$

$=>4k < 16$

$=>k < 4$

Therefore,The value of K<4