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How do you solve $x^{2} - 2 x - 24 = 0$ graphically?

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4 and 6

-4 and 6

-4 and -6

4 and -6

answer is B.

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Detailed Solution

Knowing a few facts is necessary to graphically answer a quadratic equation:

a > 0

, The parabola begins to ascend.
The vertex, the axis of symmetry's x-coordinate:

x = - \frac{b}{2 a} = \frac{2}{2} = 1

The vertex's y-coordinate:

y (1) = 1 - 2 - 24

y (1) = - 25

The y-intercept, make

x = 0 \to y = - 24

Graph

{{x}^{2} - 2 x - 24 [- 10, 10, - 5, 5]}

It displays two x-intercepts (real roots): -4 and 6.

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