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World Science Scholars

When a0a \ne 0, there are two solutions to ax2+bx+c=0ax^2 + bx + c = 0 and they are x=b±b24ac2a.x = {-b \pm \sqrt{b^2-4ac} \over 2a}.

i=0ni2=(n2+n)(2n+1)6\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}

i=0ni2=(n2+n)(2n+1)6\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}

x=b±b24ac2ax = {-b \pm \sqrt{b^2-4ac} \over 2a}

f(x)=f^(ξ)e2πiξxdξf(x) = \int_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,d\xi