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Q.

How do you solve x2-2x-24=0 graphically?

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a

4 and 6

b

-4 and 6

c

-4 and -6

d

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=-b2a=22=1
The vertex's y-coordinate:
y(1)=1-2-24
y(1)=-25
The y-intercept, make x=0→y=-24
Graph {x2-2x-24[-10,10,-5,5]}
It displays two x-intercepts (real roots): -4 and 6.
 
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