If α and β are the zeros of the quadratic polynomial p(y) = y² - 4y/3 - 2/3, find α and β? Also verify the relationship between zeros and its coefficient?

Relationship Between Zeroes and Coefficients of Quadratic Polynomial, Quadratic Formula for Finding Roots | PadhAiPro

Question

TextRelationship Between Zeroes and Coefficients of Quadratic PolynomialQuadratic Formula for Finding Roots

Similar Questions

If the sum of zeroes of the polynomial p(x) = 2x² − k√2 x + 1 is √2, then value of k is :

MCQ (Single)Relationship Between Zeroes and Coefficients of Quadratic PolynomialSum of Zeroes of Quadratic Polynomial

The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² − 5x − 6. The value of p is :

MCQ (Single)

Relationship Between Zeroes and Coefficients of Quadratic Polynomial

A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is increased by 1 unit, it would take only 128 tiles to cover the floor.

CASE_STUDIESStandard Form of Quadratic EquationFactorisation Method for Solving Quadratic EquationsQuadratic Formula for Finding Roots

Find the zeroes of the polynomial p(x) = 3x² – 4x – 4. Hence, write a polynomial whose each of the zeroes is 2 more than zeroes of p(x).

TextRelationship Between Zeroes and Coefficients of Quadratic PolynomialFormation of Quadratic Polynomial from Given Zeroes

There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.

TextQuadratic Formula for Finding RootsConditions for Two Distinct Real RootsLength of Tangent from External Point

Find the smallest value of p for which the quadratic equation x² – 2(p + 1)x + p² = 0 has real roots. Hence, find the roots of the equation so obtained.

TextQuadratic Formula for Finding RootsConditions for Two Distinct Real RootsLength of Tangent from External Point