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Subjects

Mathematics

Roots of a Quadratic Equation

द्विघात समीकरण के मूल

Roots of a Quadratic Equation, taught in Class 10 Mathematics under the chapter Quadratic Equations, introduces the values of the variable that make a quadratic expression equal to zero. Students learn to identify roots, verify them by substitution, and connect the sum and product of the roots with the coefficients. The topic also helps them form a quadratic equation when its roots are known and use these relationships to solve and check mathematical problems.

Practice questions

How many real roots does the equation \(x^2+36=0\) have?What are the roots of the equation \(x^2+x-12=0\)?What are the roots of the equation \(x^2=121\)?If one root of a quadratic equation is 6 and the product of the two roots is 48, what is the other root?If the sum of the two roots of a quadratic equation is 12 and one root is 5, what is the other root?If the roots of a quadratic equation are \(r\) and \(r\), what is their product?What are the roots of the quadratic equation \(4x^2-12x+9=0\)?If both roots of a monic quadratic equation are 5 and 5, which of the following is the equation?If x = −4 is a root of 2x² + px − 8 = 0, what is the value of p?If (p(r)=0) for a quadratic polynomial (p(x)), which statement about (r) is correct?Is (x=3)  a root of the equation (x^2-7x+12=0) ?Is \(x=-1\) a root of the equation \(2x^2+5x+3=0\)?If the discriminant of the quadratic equation \(ax^2+bx+c=0\) is zero, which statement about its roots is correct?What are the roots of the equation \(2x^2-7x+3=0\)?What are the roots of the equation \(3x^2+10x+3=0\)?If 2 is a root of x² + kx − 14 = 0, what is the value of k?What is the sum of the roots of the equation \(5x^2-4x-1=0\)?What is the product of the roots of \\(3x^2+8x-11=0\\)?What is the discriminant \(D\) of the quadratic equation \(2x^2-4x+2=0\)?If (D=49) for a quadratic equation, what will be the nature of its real roots?