Q. 2 H5.0( 1 Vote )

# Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

Answer :

Formula for quadratic equation is,

x^{2} – (sum of roots) x + Product of roots = 0

Given, sum of roots = and product of roots = 2

∴ Quadratic equation is,

⇒ x^{2} – x + 2 = 0

Hence, Quadratic equation is x^{2} – x + 2 = 0.

Rate this question :

Determine the nature of the roots of the equation.

x^{2} – 8x + 12 = 0

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

3, 1

Tamil Nadu Board - MathFind a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

Tamil Nadu Board - Math

Solve the following quadratic equations by completing the square.

=3x + 2

Tamil Nadu Board - MathFind a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

0, 4

Tamil Nadu Board - MathFind the zeros of the following quadratic polynomials and verify the basic relationships between the zeros and the coefficients.

4x^{2} + 8x

Let b = a + c. Then the equation ax^{2} + bx + c = 0 has equal roots, if

A chess board contains 64 equal squares and the area of each square is 6.25 cm^{2}. An order around the board is 2 cm wide. Find the length of the side of the chess board