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
What are the roots of (x^2+2x-8=0)?EasyLevel 31What are the roots of \(x^2 = 16\)?EasyLevel 31If one root is 3 and the product of the two roots is 12, what is the other root?EasyLevel 31If the sum of the roots is 5 and one root is 2, what is the other root?EasyLevel 31If the roots of a quadratic equation are reciprocals of each other then what is their product?EasyLevel 31What are the roots of (2x^2-5x+3=0)?EasyLevel 31Which of the following equations has 0 as a root?EasyLevel 31If both roots of a monic quadratic equation are (7) and (7) then which equation is it?EasyLevel 31If (x=3) is a root of (2x^2-7x+k=0), what will be the value of (k)?EasyLevel 31A root of a quadratic equation \(p(x)=0\) is a number which, when substituted for x, makes the value of \(p(x)\) equal to what?EasyLevel 32Is \(x=1\) a root of the equation \(x^2-3x+2=0\)?EasyLevel 32Is \(x=-2\) a root of the equation \(x^2+3x+2=0\)?EasyLevel 32What are the roots of the equation \(x^2-25=0\)?EasyLevel 32What are the roots of \(x^2-7x+12=0\)?EasyLevel 32What are the roots of \(x^2+9x+20=0\)?EasyLevel 32Which equation has roots 0 and -6?EasyLevel 32If \(2\) is a root of the equation \(x^2+qx-10=0\), what is the value of \(q\)?EasyLevel 32What is the sum of the roots of the equation \(3x^2-5x+2=0\)?EasyLevel 32What is the product of the roots of \(4x^2+7x-3=0\)?EasyLevel 32If (D>0), how are the real roots of a quadratic equation?EasyLevel 32