SRCC GBO 2021 Question Paper

Question 83

The roots of the quadratic equation $$2x^2 - 7x + 2 = 0$$ are:

Solution

To know the nature of roots, we need to find the discriminant of the equation.

The discriminant for this equation is $$(-7)^2$$-4(2)(2), which is 49-16= 35.

Now, the discriminant is greater than zero, which means that the roots will be real and distinct. However, $$\sqrt{35\ }$$ is an irrational number, and hence the roots shall be real, unique, and irrational. 

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