Question

For what value of k, thus the quadratic equation (K-5)x2+2(k-5)x+2=0 have equal roots​

Answer 1

Solution:

• See the attachment for the solution.

Concept:

Discriminant: The discriminant of a quadratic equation tells us about the nature of roots.

Formula of Discriminant -

Let ax² + bx + c = 0, then,

Discriminant = b² - 4ac

• If D > 0, roots are real and distinct.
• If D < 0, roots are imaginary.
• If D = 0, roots are equal.

So, in the question, it is mentioned that the roots are real and equal. Therefore, discriminant must be zero. So, here, we will form an equation and solve the equation to get the value of k.

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