Question

Solve the quadratic equation graphically using at least two different approaches when necessary to give your solutions to the nearest hundred.

2x^2 - 3 = 2x
A. x= -1.1 or x= -1
B. x= 1.82 or x= -0.82
C. x= 0.10 or x = -3
D. x= 0 or x= -6.3

please help me:)

Answer 1

B. x= 1.82 or x= -0.82

Explanation:

Only one approach was necessary to achieve the desired accuracy.

Solutions are x ≈ 1.82 or -0.82.

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Ordinarily, I would solve this graphically by rewriting the equation to ...

f(x) = 2x^2 -2x -3

and using the graphing software to find x for f(x) = 0. For even better accuracy than the values shown for the x-intercepts, the vertex coordinates can be used to find the "exact" result. The second attachment shows the solutions to calculator accuracy (0.5±a₁).