If one looks at the parabola y = x^2 - 2x + 5, the curve lies entirely above the x-axis. Which statement about the equation x^2 - 2x + 5 = 0 explains this?

Question

Accepted Answer

D = -16 < 0, so it never meets the x-axis. D = 4 - 20 = -16 < 0, so there are no real roots; the parabola (opening upward) never crosses the x-axis.

If one looks at the parabola $y = x^{2} - 2 x + 5$ , the curve lies entirely above the $x$ -axis.
Which statement about the equation $x^{2} - 2 x + 5 = 0$ explains this?

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More Class 10 Nature of Roots (Discriminant) practice

If one looks at the parabola y=x2−2x+5, the curve lies entirely above the x-axis.Which statement about the equation x2−2x+5=0 explains this?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Nature of Roots (Discriminant) practice

If one looks at the parabola $y = x^{2} - 2 x + 5$ , the curve lies entirely above the $x$ -axis.
Which statement about the equation $x^{2} - 2 x + 5 = 0$ explains this?