Answer: E) c
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Step-by-step explanation:
The general quadratic ax^2+bx+c = 0 has these properties
- sum of the roots = -b/a
- product of the roots = c/a
For more information, check out Vieta's formulas.
If we flip the bx term to -bx, thereby getting ax^2-bx+c = 0, then we have these properties
- sum of the roots = b/a
- product of the roots = c/a
We're told the sum and product of the roots are the same
b/a = c/a
b = c
Example:
The equation x^2-10x+10=0 has the sum of the roots equal to 10, and the product of the roots is also 10. You can use the quadratic formula to confirm this.