bottomsup2526
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Is it possible to have different quadratic equations with the same solution?
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Question about Quadric Equations
- Thread starter bottomsup2526
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bottomsup2526 said:Is it possible to have different quadratic equations with the same solution?
How about if you change the signs....? Will the zeros be the same? How does the parabola change?
\(\displaystyle x^2+5x+6=0\) and \(\displaystyle -x^2-5x-6=0\)
D
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bottomsup2526 said:Is it possible to have different quadratic equations with the same solution?
It is possible to have different quadratic functions with same x-intercepts.
\(\displaystyle f(x) \, = \, A\cdot (x \, - \, p)\cdot (x \, - \, q) \(\displaystyle
Now you can change the value of "A" - to change the shape of the parabola - but the 'x-intercepts' will remain same.
Notice the 'y' intercepts will change with the value of 'A'.
So when you have quadratic equation [f(x)=0], "A" is divided out and it reduces to same equation every time.\)\)