What kind of reasoning is kim using? kim notices that 24 = 6 + 18, 63 = 9 + 54, 39 = 12 + 27, and 72 = 9 + 63, so she thinks it
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The solution to the quadratic equation are option C) x= -5 and option E) x=3.
<u>Step-by-step explanation</u>:
The given quadratic equation is x²+2x-15 = 0.
Using the factorization method,
- product of the roots should be -15.
- Sum of the roots should be 2.
⇒ -15 = 5 -3
⇒ 2 = 5+(-3)
(x+5)(x-3) = 0
Therefore, x = -5 and x = 3