Question

Which of the Following Quadratic Equation has Roots 5,5 ?

Answer 1

Answer:

I think the answer is X2 + 25 -10xy

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Answer 2

Given,

Roots of quadratic equation $\[ = 5,5\]$

Solution,

Know that the quadratic equation,

$\[{x^2} + \left( {sum\,\,of\,roots} \right)x + product\,of\,roots = 0\]$

Sum of roots,

$\[\begin{array}{l} = 5 + 5\\ = 10\end{array}\]$

Product of roots,

$\[\begin{array}{l} = 5 \times 5\\ = 25\end{array}\]$

Quadratic equation,

$\[{x^2} + 10x + 25 = 0\]$

Hence the quadratic equation is $\[{x^2} + 10x + 25 = 0\]$.