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07ess inWhich statement concerning the equation x2 + 2 = x is true?0 Its discriminant is 0, so it has one real solution.O Its discriminant is – 7, so it has two complex solutions.Its discriminant is -7, so its solutions are negative.-Its discriminant is 0, so it has no solution.

Respuesta :

The given quadratic equation is;

[tex]x^2+2=x[/tex]

This can be written properly as;

[tex]x^2-x+2=0[/tex]

The discriminant is used to test for nature of roots of a quadratic equation and it is given by the equation;

[tex]D=b^2-4ac[/tex]

From the given quadratic equation;

[tex]\begin{gathered} x^2-x+2=0 \\ a=1;b=-1,c=2 \end{gathered}[/tex]

Thus, the discriminant will be;

[tex]\begin{gathered} D=b^2-4ac \\ D=(-1)^2-4(1)(2) \\ D=1-8 \\ D=-7 \end{gathered}[/tex]

Since the discrimiant has a value(-7) less than zero(0), thus it has two(2) complex roots.

Hence, the correct option is option B

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