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Root Expression

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (\alpha,\beta) are the roots of (x^2-6x+3=0), what is (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (\alpha,\beta) are roots of (x^2-5x+6=0), what is the correct value of (\alpha^2-4\alpha+\beta^2-4\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are roots of (x^2-5x+6=0), what is (\alpha^2-4\alpha+\beta^2-4\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are roots of (x^2-4x+1=0), what is (\alpha^4+\beta^4)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are roots of (x^2+5x+r=0) and (\alpha^2\beta+\alpha\beta^2=-20), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-2x-8=0), what is ((\alpha+3)(\beta+3))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are the roots of (2x^2-5x+3=0), what is (\alpha^3+\beta^3)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-8x+15=0), what is (\frac{\alpha+2}{\alpha-2}+\frac{\beta+2}{\beta-2})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-5x+2=0), what is (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are roots of (x^2-6x+8=0), what is ((\alpha-2)(\beta-2))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (x^2-4x+2=0), what is ((\alpha+2)(\beta+2))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (2x^2+3x-5=0), what is (\alpha^2\beta+\alpha\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (x^2+4x+1=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (2x^2-7x+3=0), what is the value of ((\alpha-\beta)^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard