1.

If the roots of the quadratic equation 2x2+8x+k=0 are equal them find the value of k.​

Answer»

Answer:

8

Step-by-step explanation:

Let each roots is 'a'.

In equations written in FORM of ax² + BX + c = 0,

-b/a is sum of roots ; c/a is product of roots.

Here, as both roots are equal:

= > sum = -(8/2)

= > a + a = - 4

= > 2a = - 4 → a = - 2

WHEREAS,

= > product = k/2

= > a*a = k/2

= > (-2)(-2) = k/2

= > 4 = k/2

= > 8 = k


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