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Quadratic Roots

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 640 more than 24 times the number. What is the positive number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Hard MathematicsIf (\alpha,\beta) are the roots of (x^2-(2a+1)x+a^2+a-6=0), what is the positive value of (\alpha-\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-6x+c=0) and (\alpha^2+\beta^2=26), what are the roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat is the nature of the roots of (x^2-2x+(a^2+3)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of \\(x^2+px+q=0\\) are \\(-4\\) and \\(9\\), what is the value of \\(p-q\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2+10x+21=0), what is ((\alpha-\beta)^2+4\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-7x+10=0), what is the correct value of (\alpha^2-6\alpha+\beta^2-6\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-7x+10=0), what is (\alpha^2-6\alpha+\beta^2-6\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsFor (x^2+12x+\lambda=0) to have real distinct roots and both negative roots, what is the correct condition on (\lambda)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (4x^2-20x+9=0), what is the correct positive value of (\alpha-\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (4x^2-20x+9=0), what is the positive value of (\alpha-\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (x^2+px+64=0) has equal and positive roots, what is the value of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf both roots of (x^2-14x+m=0) are prime numbers, what is the sum of possible values of (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-5x+1=0), what is (\alpha^4+\beta^4)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are roots of (x^2-7x+r=0) and (\alpha^2\beta+\alpha\beta^2=84), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of (x^2+ax+b=0) are (\frac{1}{4+\sqrt{3}}) and (\frac{1}{4-\sqrt{3}}), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of (x^2-sx+1=0) are (2\tan\theta) and (\frac{1}{2}\cot\theta), what is the correct reality condition on (s)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-13x+36=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat are the roots of the equation \(x^2-2(a+2)x+a^2+4a=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of (4x^2-(5t+3)x+t(t+3)=0) are said to be (t) and (\frac{t+3}{4}), when is this statement true?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert