Math, asked by hardikseervi30092005, 3 months ago

solve the equation x²-2x-4=0 using
quadratic formula.​

Answers

Answered by ItzWinterBear
10

x²−2x+4=0 has no real solutions, only complex ones, but the quadratic formula does work to give:

x = 1 ± i√3

\sf{x}^{2}  - 2x + 4 \: of \: the \: form \:  {ax}^{2}  + bx + c

\sf with \: a  =  1b =  - 2 \: and \: c = 4

 \sf The  \: quadratic \:  formula  \: gives  \: us  \: the \:  solutions

\sf to \:   {x}^{2} −2x+4 \:  as:

 \sf x =  \frac{ - b ±  \sqrt{ {b}^{2} - 4ac } }{2a}

 \sf  \implies  \frac{2 \: ± \:  \sqrt{ {2}^{2}  - (4 \times 1 \times 4)} }{2}

 \sf \implies  \frac{2 \: ± \:  \sqrt{ - 12} }{2}

 \sf \implies   \frac{2 \: ± \: 2 \sqrt{ - 3} }{2}

 \sf \therefore 1 \: ± \: i \sqrt{3}

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