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For what values of k, the roots of the equation x2+4x+ k=0 are real?

Posted by Harman Singh 6 years ago

CBSE > Class 10 > Mathematics

3 answers

Yogita Ingle 6 years ago

The value of k must be less than or equal to 4.

Step-by-step explanation:

The given quadratic equation is

x²+4x+k=0

A quadratic equation ax²+bx+c=0 has real roots if

{tex}b^2-4ac\geq 0{/tex}

We have,

a=1,b=4,c=k

{tex}(4)^2-4(1)(k)\geq 0{/tex}

{tex}16-4k\geq 0{/tex}

{tex}16\geq 4k{/tex}

Divide both sides by 4.

{tex}4\geq k{/tex}

Therefore the value of k must be less than or equal to 4.

1Thank You

Riya Kumari 6 years ago

Zfddv

0Thank You

Nikunj Arora 6 years ago

K=4

1Thank You

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CBSE > Class 10 > Mathematics