1.

3. if the roots of the quadratic equation x^2+6x+k=0 are equal, then the value of k is​

Answer»

ong>Answer:

\red \bigstar The value of if the roots of the quadratic equation x² + 6x + k = 0 are EQUAL is 9.

SOLUTION

The given quadratic equation is x² + 6x + k = 0

We KNOW that , a quadratic equation will have equal roots only if the discriminant is 0.

i.e , b² - 4ac = 0.

The general form of a quadratic equation is ax² + bx + c = 0

Here,

a = 1

b = 6

c = k

Now, let us take the discriminant by SUBSTITUTING the values of a , b and c

\implies 6² - 4 × 1 × k = 0

\implies 36 - 4k = 0

\implies 4k = 36

\implies \sf k = \dfrac{36}{4}

\implies \sf k = 9


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