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NeX [460]
3 years ago
7

Determine a quadratic equation, in standard form, that has the pair of root: x=-3, x=5

Mathematics
2 answers:
vlabodo [156]3 years ago
6 0

Answer:

x²-2x-15=0

Step-by-step explanation:

x=-3 x=5

x+3=0 x-5=0

(x+3)(x-5)=0

x²-5x+3x-15=0

x²-2x-15=0

Mama L [17]3 years ago
5 0

Answer:

x^2 -2x -15=0

Step-by-step explanation:

\text{Given that, the roots are,}~ \alpha=-3 ~ \text{and}~ \beta=5 .\\\\\text{The quadratic equation with roots}~ \alpha ~ \text{and}~ \beta ~ \text{is,}\\\\~~~~~~~~x^2 - (\alpha + \beta )x +\alpha \beta = 0\\\\\implies x^2-(-3 +5) x +(-3)(5) = 0\\\\\implies x^2 -2x -15=0

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