Question

the value of 16x^2+kx+1=0
roots are equal

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Answer 1

Answer:

Consider the equation 0=x2+4x+4. We can solve this by factoring as a perfect square trinomial, so 0=(x+2)2→x=−2and−2. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have 2 equal, or 1distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

So, k can either be 12 or −12.

Hopefully this helps!

Answer 2

Answer:

this may help you

Step-by-step explanation:

condition for equal roots is discriminant should be equal to zero