Question

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.

Answer 1

The given quadratic equation is;

`x^2+2=x`

This can be written properly as;

`x^2-x+2=0`

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

`D=b^2-4ac`

From the given quadratic equation;

`\begin{gathered} x^2-x+2=0 \\ a=1;b=-1,c=2 \end{gathered}`

Thus, the discriminant will be;

`\begin{gathered} D=b^2-4ac \\ D=(-1)^2-4(1)(2) \\ D=1-8 \\ D=-7 \end{gathered}`

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