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Completing The Square

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

MathematicsIf the minimum value of \(p(x)=x^2-2x+k\) is \(3\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=3x^2-12x+15\), what is the correct conclusion about its real zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(x\) is a real number, what is the minimum value of \(p(x)=x^2+14x+53\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsFor the polynomial \(p(x)=x^2-12x+40\), at which value of \(x\) is the minimum value attained?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf \(x\) is a real number, what is the minimum value of \(p(x)=x^2+10x+29\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsFor a real number \(x\), what is the minimum value of \(p(x)=x^2-6x+10\)?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsWhen 16 times a positive number is subtracted from its square, the result is 425. What is the number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Hard MathematicsWhat are the roots of the equation \(x^2+14x+10=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Expert MathematicsWhat are the roots of the equation \(x^2+12x+8=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsWhat are the roots of the equation \(x^2+8x+5=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Hard MathematicsWhat are the roots of the equation \(x^2+6x+2=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Hard MathematicsIf x² + 6x + 2 = 0, which form is correct by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium MathematicsWhat are the roots of the equation \(x^2+4x+1=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Hard MathematicsIf x² + 4x + 1 = 0, which form is obtained by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Medium MathematicsWhat are the roots of the equation \(x^2-24x+108=0\) when it is solved by completing the square method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Medium MathematicsWhat are the roots of the equation \(x^2-6x-7=0\) when it is solved by completing the square method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium MathematicsWhich step is correct when solving x² + 2x − 24 = 0 by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium MathematicsWhich middle step is correct while solving x² − 8x + 12 = 0 by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium MathematicsWhat are the roots obtained by solving \(x^2-8x+15=0\) using the completing-the-square method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Medium MathematicsIf x² − 8x + 15 = 0 is solved by completing the square, which middle step is correct?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Medium