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| 1. |
Give the proof of quadratic formula |
| Answer» {tex}ax^2+bx+c=0{/tex}or,\xa0{tex}x^2+\\frac{{b}}{a}x+\\frac{{c}}{a}=0{/tex}or,\xa0{tex}x^2+\\frac{{b}}{a}x=−\\frac{{c}}{a}{/tex}or,\xa0{tex}x^2+\\frac{{b}}{a}x+\\frac{{b^2}}{4a^2}=\\frac{{b^2}}{4a^2}−\\frac{{c}}{a}{/tex}or,\xa0{tex}(x+\\frac{{b}}{2a})^2=\\frac{{b^2−4ac}}{4a^2}{/tex}or,\xa0{tex}x+\\frac{{b}}{2a}=\\frac{\\pm\\sqrt{b^2−4ac}}{2a}{/tex}or,\xa0{tex}x=-\\frac{{b}}{2a}\\pm\\frac{\\sqrt{b^2−4ac}}{2a}{/tex}or,\xa0{tex}x = {-b \\pm \\sqrt{b^2-4ac} \\over 2a}{/tex}\xa0 | |