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X2 + 4x+3=0 what are the roots

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X2 + 4x+3=0 what are the roots-example-1
User David Spenard
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Answer:To find the roots of the quadratic equation x^2 + 4x + 3 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the roots can be found using the following formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = 4, and c = 3. Substituting these values into the formula, we get:

x = (-4 ± √(4^2 - 4(1)(3))) / (2(1))

Simplifying further:

x = (-4 ± √(16 - 12)) / 2

x = (-4 ± √4) / 2

Now, we can simplify the square root:

x = (-4 ± 2) / 2

This gives us two possible solutions:

x = (-4 + 2) / 2 = -2/2 = -1

x = (-4 - 2) / 2 = -6/2 = -3

Therefore, the roots of the equation x^2 + 4x + 3 = 0 are x = -1 and x = -3.

Explanation:

User Ronedog
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