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I hate MATH!
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<blockquote data-quote="Rod Snell" data-source="post: 3615712" data-attributes="member: 796"><p>If you are trying to solve for x, put in the standard quadratic form: x^2 -x -13 = 0. (ax^2 + bx +c = 0)</p><p>Then use the quadratic formula ( <a href="https://en.wikipedia.org/wiki/Quadratic_formula" target="_blank">https://en.wikipedia.org/wiki/Quadratic_formula</a> )</p><p></p><p>with <em>x</em> representing an unknown, <em>a</em>, <em>b</em> and <em>c</em> representing <a href="https://en.wikipedia.org/wiki/Constant_(mathematics)" target="_blank">constants</a> with <em>a</em> ≠ 0, the quadratic formula is:</p><p></p><p>{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }</p><p><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c53ac8f6472818916207ebf8ff1c9b071b1f44f" alt="{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }" class="fr-fic fr-dii fr-draggable " style="" /></p><p>where the <a href="https://en.wikipedia.org/wiki/Plus%E2%80%93minus_sign" target="_blank">plus–minus symbol "±"</a> indicates that the quadratic equation has two solutions.<a href="https://en.wikipedia.org/wiki/Quadratic_formula#cite_note-2" target="_blank">[2]</a> Written separately, they become:</p><p></p><p>{\displaystyle x_{1}={\frac {-b+{\sqrt {b^{2}-4ac}}}{2a}}\quad {\text{and}}\quad x_{2}={\frac {-b-{\sqrt {b^{2}-4ac}}}{2a}}}<img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f923dabe3c75577898e2e5688c513ef2b8101773" alt="{\displaystyle x_{1}={\frac {-b+{\sqrt {b^{2}-4ac}}}{2a}}\quad {\text{and}}\quad x_{2}={\frac {-b-{\sqrt {b^{2}-4ac}}}{2a}}}" class="fr-fic fr-dii fr-draggable " style="" /></p><p>Each of these two solutions is also called a <a href="https://en.wikipedia.org/wiki/Zero_of_a_function" target="_blank">root (or zero)</a> of the quadratic equation. Geometrically, these roots represent the <em>x</em>-values at which <em>any</em> <a href="https://en.wikipedia.org/wiki/Parabola" target="_blank">parabola</a>, explicitly given as <em>y</em> = <em>ax</em>2 + <em>bx</em> + <em>c</em>, crosses the <em>x</em>-axis.</p><p></p><p>As well as being a formula that yields the zeros of any parabola, the quadratic formula can also be used to identify the axis of symmetry of the parabola, and the number of <a href="https://en.wikipedia.org/wiki/Real_number" target="_blank">real</a> zeros the quadratic equation contains.</p></blockquote><p></p>
[QUOTE="Rod Snell, post: 3615712, member: 796"] If you are trying to solve for x, put in the standard quadratic form: x^2 -x -13 = 0. (ax^2 + bx +c = 0) Then use the quadratic formula ( [URL]https://en.wikipedia.org/wiki/Quadratic_formula[/URL] ) with [I]x[/I] representing an unknown, [I]a[/I], [I]b[/I] and [I]c[/I] representing [URL='https://en.wikipedia.org/wiki/Constant_(mathematics)']constants[/URL] with [I]a[/I] ≠ 0, the quadratic formula is: {\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ } [IMG alt="{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }"]https://wikimedia.org/api/rest_v1/media/math/render/svg/0c53ac8f6472818916207ebf8ff1c9b071b1f44f[/IMG] where the [URL='https://en.wikipedia.org/wiki/Plus%E2%80%93minus_sign']plus–minus symbol "±"[/URL] indicates that the quadratic equation has two solutions.[URL='https://en.wikipedia.org/wiki/Quadratic_formula#cite_note-2'][2][/URL] Written separately, they become: {\displaystyle x_{1}={\frac {-b+{\sqrt {b^{2}-4ac}}}{2a}}\quad {\text{and}}\quad x_{2}={\frac {-b-{\sqrt {b^{2}-4ac}}}{2a}}}[IMG alt="{\displaystyle x_{1}={\frac {-b+{\sqrt {b^{2}-4ac}}}{2a}}\quad {\text{and}}\quad x_{2}={\frac {-b-{\sqrt {b^{2}-4ac}}}{2a}}}"]https://wikimedia.org/api/rest_v1/media/math/render/svg/f923dabe3c75577898e2e5688c513ef2b8101773[/IMG] Each of these two solutions is also called a [URL='https://en.wikipedia.org/wiki/Zero_of_a_function']root (or zero)[/URL] of the quadratic equation. Geometrically, these roots represent the [I]x[/I]-values at which [I]any[/I] [URL='https://en.wikipedia.org/wiki/Parabola']parabola[/URL], explicitly given as [I]y[/I] = [I]ax[/I]2 + [I]bx[/I] + [I]c[/I], crosses the [I]x[/I]-axis. As well as being a formula that yields the zeros of any parabola, the quadratic formula can also be used to identify the axis of symmetry of the parabola, and the number of [URL='https://en.wikipedia.org/wiki/Real_number']real[/URL] zeros the quadratic equation contains. [/QUOTE]
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