Subjects algebra

Quadratic Equation 60A73D

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Quadratic Equation 60A73D


1. The problem is to create a question paper exactly like the SEE (Second Year Engineering Examination) format. 2. Typically, SEE question papers include multiple sections with questions on various topics, often requiring detailed solutions. 3. Since the request is for a question paper format, not a specific math problem, I will provide a sample algebra question similar to SEE style. 4. Example question: Solve the quadratic equation $$2x^2 - 4x - 6 = 0$$. 5. Formula used: Quadratic formula $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where $a=2$, $b=-4$, $c=-6$. 6. Calculate discriminant: $$\Delta = b^2 - 4ac = (-4)^2 - 4 \times 2 \times (-6) = 16 + 48 = 64$$. 7. Since $$\Delta > 0$$, two real roots exist. 8. Calculate roots: $$x = \frac{-(-4) \pm \sqrt{64}}{2 \times 2} = \frac{4 \pm 8}{4}$$ 9. Roots are: $$x_1 = \frac{4 + 8}{4} = \frac{12}{4} = 3$$ $$x_2 = \frac{4 - 8}{4} = \frac{-4}{4} = -1$$ 10. Final answer: The solutions to the quadratic equation are $$x=3$$ and $$x=-1$$.