Автор - Ebonite

Корни
2x^2 − 4√2x + 3 = 0
Помогите пж

Ответ

Проверено экспертом

Автор - Universalka

2x^{2}-4sqrt{2}x+3=0\\D=(-4sqrt{2})^{2}-4*2*3=32-24=8=(2sqrt{2})^{2}\\x_{1}=frac{4sqrt{2}+2sqrt{2}}{4}=frac{6sqrt{2} }{4}=frac{3sqrt{2} }{2}\\x_{2} =frac{4sqrt{2}-2sqrt{2}}{4}=frac{2sqrt{2} }{4}=frac{sqrt{2} }{2}

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