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Roots Of Equations

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

MathematicsThe square of a number is 2800 more than 30 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe product of the numbers that are 14 less than and 25 more than a positive number is 2700. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsIn an examination, there are \(x\) students, and each student is given \((x-5)\) questions. If the total number of questions is \(414\), how many students are there?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe square of a number is 24 more than 10 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40MediumMathematicsWhat are the roots of the equation \(x^2+12x+8=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35ExpertMathematicsWhat are the roots of the equation \(x^2+8x+5=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36HardMathematicsWhat are the roots of the equation \(5x^2=80\) when it is solved by the square-root method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsWhat are the roots of the equation \(x^2+2x-24=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsIf the roots of the equation \(x^2+px+20=0\) are \(-4\) and \(-5\), what is the value of \(p\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsWhat are the roots obtained by solving \(x^2-8x+15=0\) using the completing-the-square method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34MediumMathematicsWhat are the roots of the equation \(3x^2=12\) when it is solved by the square-root method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34MediumMathematicsWhat are the values of \(x\) when the equation \(x^2=49\) is solved by the square root method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsIf \(x=0\) is a root of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), which of the following conditions must be true?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4x-5=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-8x+12=0\), what is the value of \(\alpha^2\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the roots of the equation \(x^2-9x+c=0\) are in the ratio \(1:2\), what is the value of \(c\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-10x+21=0\), what is the value of \(\alpha^3+\beta^3\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf 3 and 5 are the roots of the equation \(ax^2+bx+15=0\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-2x-8=0\), what is the value of \(\left(\alpha+3\right)\left(\beta+3\right)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-2\) and \(-5\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard