Question

$\large \bold \red{Question \: \mapsto}$

★ Solve the quadratic equation :-

$\large \bold{ {x}^{2} - 7x + 3 = 0 }$

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Answer 1

Step-by-step explanation:

★ Question :-

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• Solve the given equation :-

⠀⠀⠀⠀$\mapsto \large \bold \red{ {x}^{2} - 7x + 3 = 0 }$

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★ Answer :-

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$\maltese \: \large \underline{\underline \bold \pink{Required \: Formula \: \mapsto}}$

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⠀⠀⠀⠀$\large \bold{x = } \: {\displaystyle{\frac {-b\pm{\sqrt {b^{2}-4ac}}}{2a}}\ \ }$

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★ Now,

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• Substituting the given equation in formula, we will get :-

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⠀⠀$\mapsto \: = \large \bold{ \frac{7 \pm \sqrt{49 - 4 \times 1 \times 3} }{2 \times 1} } \\ \\ \mapsto \: = \large \bold{ \frac{7 \pm \sqrt{37} }{2} } \\ \\ \mapsto \: = \large \bold{ \frac{7 \pm6.083}{2} } \\ \\ \mapsto \: = \large \bold { \frac{7 + 6.083}{2} , \frac{7 - 6.083}{2} } \\ \\ \mapsto \: = \large \bold{ \frac{13.083}{2} , \frac{0.917}{2} } \\ \\ \mapsto \: = \large \bold{6.542 \: , \: 0.459} \\ \\ \mapsto\large \fbox \red{ 6.54 \: , \: 0.46}$

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★ Hence,

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• The answer is = 6.54 & 0.46

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