Question

if the root of equations is x2+6x + k = 0are equal find the value of k​

Answer 1

Solution:

• Here,The root of equations is x² + 6x + k = 0 are equal.Find the value of k.

Applying the quadratic formula,

• ax² + bx + c = 0⇢ b² - 4ac = 0

Where,

• a = 1
• b = 6
• c = k

Substituting the values,

⇢ 6² - 4(1)(k) =0

⇢ 36 - 4k = 0

⇢ -4k = -36

cancelling the minus in both sides,

⇢ 4k = 36

⇢ k = 36/4

⇢ k = 9

Therefore,

• The value of k is 9.

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Let us verify by putting the value of k in the given equation:

➽ b² - 4ac = 0

➽ 6² - 4(1)(9) = 0

➽ 36 - 36 = 0

➽ 0 = 0

Hence,Verified.

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