Respuesta :

answer: x= -(7+√33)/4 , x=-(7-√33)/4

The roots of the given equation should be  [tex]x= -(7+\sqrt 33)\div 4 , x=-(7-\sqrt 33)\div 4[/tex]

Given information:

The equation is [tex]2x^2+7x=-2[/tex]

Calculation of roots:

[tex]2x^2 + 7x + 2 = 0\\\\x = [-7 \pm \sqrt (7^2 - 4\times 2\times 2)] \div 2\times 2\\\\x = -7\div 4 \pm \sqrt (33) \div 4\\\\= (-7 \pm \sqrt33) \div 4[/tex]

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