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Nat2105 [25]
3 years ago
14

Write a quadratic equation whose solutions are 7i and -7i

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0
Because -7i and 7i are the solutions to the quadratic equation, you can first write it in factored form (x-7i)(x+7i). The you multiply this out and get x^{2} +49.
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Simplify expression X^2+x-2/x^3-x^2+2x-2
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Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



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