Problem

$1 x^{2}+6 x+9=0$

Solution

Step 1 :Given the quadratic equation: \(x^2 + 6x + 9 = 0\)

Step 2 :Use the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Step 3 :Substitute the coefficients: a = 1, b = 6, and c = 9

Step 4 :Calculate the discriminant: \(\Delta = b^2 - 4ac = 6^2 - 4(1)(9) = 0\)

Step 5 :Since the discriminant is 0, there is only one solution for x.

Step 6 :Find the solution: \(x = \frac{-6 \pm \sqrt{0}}{2(1)} = -3\)

Step 7 :\(\boxed{x = -3}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8605/

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