Find the \$x\$ and \$y\$ values that satisfy both of the following equations. That is, find the point of intersection of the two curves.

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\$x=\$ [[0]],   \$y=\$ [[1]]

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There are many ways to solve these equations simultaneously. Here is one method.

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Substitute the expression for \$y\$ given in \$(1)\$ into \$(2)\$:

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Since we have a quadratic here we get everything onto one side:
\\[0=\\simplify{x^2+{sroots}x+{proots}}\\]

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There are various ways to solve a quadratic, in this particular case we can factorise the quadratic:

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\\[(\\simplify{x-{root1}})(\\simplify{x-{root2}})=0\\]

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Therefore, \$x=\\var{root1}\$.

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Now we know the \$x\$ value we can determine the corresponding \$y\$ value by substituting \$x=\\var{root1}\$ into either equation \$(1)\$ or \$(2)\$, below we substitute into \$(1)\$:

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