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Roots Of A Quadratic Equation

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

MathematicsIf x + 6 and x − 2 are factors of a quadratic equation, what are its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf the sum of roots is 11 and their product is 28, which monic quadratic equation is formed?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 33MediumMathematicsIf the roots of a quadratic equation are 5 and 1/5, which statement is correct about them?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32EasyMathematicsIf 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 product of the roots of the equation \\(5x^2+6x-8=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhich quadratic equation has −3 and 6 as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf (alpha+beta=-3) and (alphabeta=-10), which monic quadratic equation has (alpha) and (beta) as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf both roots of the equation \(x^2+ax+9=0\) are \(3\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf the roots of a quadratic equation are 4 and 1/4, which statement is correct about them?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsIf \(x=1\) and \(x=4\) are the roots of a monic quadratic equation, what is the coefficient of \(x\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsFor 2x² − 9x + 4 = 0, what are the sum and product of the roots respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf 2 is a root of x² + kx − 14 = 0, what is the value of k?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsIf x = −4 is a root of 2x² + px − 8 = 0, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsWhich monic quadratic equation has sum of roots 10 and product of roots 21?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsWhat is the product of the roots of \\(7x^2+5x-14=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsIf the product of two real roots is positive and their sum is positive, how must both roots be?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf −1 is a root of x² + rx − 12 = 0, what is the value of r?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsWhat are the roots of (x^2+2x-8=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy