Question

Help me plz plz plz plz​

Answer 1

We are given a quadratic equation whose roots are equal so we need to find the value of k in the quadratic equation.

➞ x² + kx + k = 0

Comparing the given quadratic equation with the standard form of quadratic equation i.e., ax² + bx + c = 0 , we get

• a = 1
• b = k
• c = k

The roots of a quadratic equation is equal only when the discriminant is 0.

⇒ b² - 4ac = 0

⇒ k² - 4k = 0

⇒ k - 4 = 0

⇒ k = 4

Hence ,

• Value of k is = 4

_____________________

Answer 2

method

Given x

2

+kx+k

roots are real & equal

∴b

2

−4ac=0

=(k)

2

−4(1)(k)=0

=k

2

−4k=0

=k(k−4)=0

∴ k = 0 or k = 4