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Find all solutions to the equation x^2 - 7x = 30 + 5x.
If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in a + bi form.

 Jun 4, 2022
 #1
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Simplifying into a quadratic, we have: \(x^2 - 12x - 30 = 0 \).

 

Now, to solve, use the quadratic formula: \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\), where \(a = 1\)\(b = -12\), and \(c = -30\)

 

Can you take it from here?

 Jun 4, 2022

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