Question

X² + 6x + 9 = 0 discriminant:______ nature of the root:_____

Answer 1

X² + 6x + 9 = 0

x = -3

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Answer 2

Answer:

discriminant: 0

nature of the root: real, equal, rational

Step-by-step explanation:

discriminant d= b^2 -4ac = 6^2 -4*1*9= 36-36=0

root:

$x { }^{2} + 3x + 3x + 9 = 0 \\x (x + 3) + 3(x + 3) = 0 \\( x + 3)(x + 3) = 0 \\ ( x+ 3) {}^{2} = 0 \\ x = - 3$

since d=0, the roots are real, equal and rational