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Sum 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 (2x^2-9x+4=0), what is (\alpha+\beta)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34HardMathematicsIf the sum of roots of (3x^2+px+12=0) is (-5), what is (p)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34HardMathematicsIf one root of (x^2-5x+q=0) is (2), what will be the other root?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34HardMathematicsIf the roots of (2x^2-(p+3)x+8=0) are (2) and (4), what is (p)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34HardMathematicsCan the sum of the roots of ((m+1)x^2-2(m-1)x+(m-3)=0) be (2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf 8\alpha9 and 8\beta9 are the roots of 8x^2-6x+5=09, what is the sum of 8\alpha+39 and 8\beta+39?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the roots of (x^2-(m+3)x+18=0) are (3) and (6), what is the value of (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the roots of the quadratic equation \(2x^2+px+8=0\) are \(-1\) and \(-4\), what is the value of \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+4=0\), what is the sum of \((\alpha+2)\) and \((\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the roots of the quadratic equation x² − (m + 2)x + 12 = 0 are 3 and 4, what is the value of m?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf (alpha+beta=-7) and (alphabeta=-18), which monic quadratic equation has alpha and beta as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf the roots of the quadratic equation \(x^2+mx+30=0\) are \(-5\) and \(-6\), what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf both roots of the equation \(x^2+px+36=0\) are \(-6\), what is the value of \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the sum of roots of 6x² − 13x + 5 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsFor the quadratic equation \(x^2-18x+81=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf the two roots of the equation \(x^2+ax+16=0\) are 4 and 4, what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(3x^2-12x+5=0\), what is the value of \(\alpha+\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf the roots of the equation \\(x^2+mx+20=0\\) are \\(-4\\) and \\(-5\\), what is the value of \\(m\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+15=0\), what is the value of \(\alpha+\beta+\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhat is the sum of the roots of the quadratic equation \(4x^2-11x+7=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium