This is Solve School.

S 2

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MathML:

( a + b ) 2 = c 2 + 4 ( 1 2 a b ) a 2 + 2 a b + b 2 = c 2 + 2 a b a 2 + b 2 = c 2 \begin{aligned} (a + b)^2 &= c^2 + 4 \cdot \left( \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + 2ab \\ a^2 + b^2 &= c^2 \end{aligned} \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + 2ab \\ a^2 + b^2 &= c^2 \end{aligned} \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + 2ab \\ a^2 + b^2 &= c^2 \end{aligned} \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + 2ab \\ a^2 + b^2 &= c^2 \end{aligned} \frac{1}{2} ab \right) \\ a^2 + 2ab + b^2 &= c^2 + 2ab \\ a^2 + b^2 &= c^2 \end{aligned}

MathJax:

x = b ± b 2 4 a c 2 a

MathJax via \(\TeX\) and JavaScript:

When \(a \ne 0\), two solutions to \(ax^2 + bx + c = 0\): \[x = {-b \pm \sqrt{b^2-4ac} \over 2a}\]

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