Question

Day 5,


how many solutions does the following equation have?


$\large{\mathsf{{a}^{2} \frac{(x - b)( x - c)}{(a - b)(a - c)} + {b}^{2} \frac{(x - c)(x - a)}{(b - c)(b - a)} + {c}^{2} \frac{(x - a)(x - b)}{(c - a)(c - b)} =x^2}}$
[Answer - infinitely many]

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Answer 1

Answer:

$d{matrix}  In between the \begin and \end, put the matrix elements. End each matrix row with \\, and separate matrix elements with &. For example,</p><p></p><p> \begin{matrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{matrix} </p><p></p><p>produces:</p><p></p><p></p><p></p><p>$