Write the quadratic equation with a lead coefficient of 1 whose roots are -2+3i and -2-3i
Stacey Warren - Expert brainly.com
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there is a real fast way to do this, but unfortunately the person who asked is off line
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i thought about uncompleting the square......
I don't know the fast way people are mentioning. I'd love to see it. But here is the regular/long way to do it.
x = each of the roots. x = -2+3i and x = -2-3i.
The factors of the quadratic are: (x+2-3i)(x+2+3i)
Multiply them to get: \[x^2 +4x +16\]
Since the lead coefficient is 1, your work is complete.
This video shows a similar problem. It may help you.