Find the nature of the roots of the quadratic equation x² – 5x + 9 = 0.

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Relationship Between Zeroes and Coefficients of Quadratic Polynomial, Nature of Roots Based on Discriminant | PadhAiPro

Question

TextRelationship Between Zeroes and Coefficients of Quadratic PolynomialNature of Roots Based on DiscriminantCBSE PYQ

Assertion (A) : Every quadratic equation has two real roots. Reason (R) : A quadratic polynomial can have at most two zeroes.

Solve the equation 4x² - 9x + 3 = 0, using quadratic formula.

Nature of Roots Based on Discriminant

Quadratic Formula for Finding Roots

Find the nature of roots of the equation 3x² - 4√3x + 4 = 0.

If α, β are zeroes of the polynomial 8x² - 5x - 1, then form a quadratic polynomial in x whose zeroes are 2/α and 2/β.

Find the zeroes of the polynomial p(x) = 3x² + x - 10 and verify the relationship between zeroes and its coefficients.

Solve for x : 6x² - 2x + 1/6 = 0