Question

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.

2x^2-3=2x

Answer 1

B. x = 1.82 or x = -0.82

Explanation:

Answer 2

For graphic solution see attached figure.
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It can be solved also by genral equation which is :
x = (-b/2a)√(b² - 4ac)
for the given equation:
2x² - 3 = 2x
∴ 2x² - 2x - 3 = 0
a = 2 , b = -2 and c = -3
Substitute in the general equation;
∴ x = -0.823 OR x = 1.823