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Difference Of Roots

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 roots of (x^2+mx+n=0), (\alpha-\beta=4), and (\alpha\beta=5), what is (m^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf one root of (x^2+ax+12=0) is (3) more than the other root, what are the possible values of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the difference between the roots of the equation \(x^2-(k+2)x+2k=0\) is 2, find the values of \(k\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the difference between the roots of (x^2+(a-2)x+a=0) is (3), what is the value of (a)?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 MathematicsWhat is the positive difference between the two roots of (x^2-2kx+(k^2-4)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-9x+20=0), what is the value of ((\alpha-\beta)^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the difference of roots of (x^2-5x+q=0) is (1), what is the value of (q)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-5x+6=0), what is the value of ((\alpha-\beta)^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhat is the positive difference between the two roots of the equation \(x^2-8x-9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the absolute difference between the roots of \(x^2-6x-7=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the absolute difference between the two roots of the equation \(x^2-4x-5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the equation \(x^2-2ax+a^2-36=0\) is given, what is the difference between its larger and smaller roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the difference between the larger and smaller roots of \(5x^2-22x+24=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the equation \(x^2-2ax+a^2-16=0\) is given, what is the difference between its roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard