Question

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Answer 1

Answer:

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α,β).

The quadratic equation will always have two roots. The nature of roots may be either real or imaginary.

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Answer 2

Discriminant of the equation 2x² - 7x + p = 0 is 33

The value for p can be calculated as

Here a = 2 ; b = -7 ; c = p

•°• b2 - 4ac = (-7)² - 4 × 2 × p

= 49 - 8p .......(1)

But, b² - 4ac is 33 .....(2)

From 1 and 2

49 - 8p = 33

8p = 16

p = 16/8

p = 2