Mathematics
Methods of Solving Quadratic Equations
द्विघात समीकरणों को हल करने की विधियाँ
In this Class 10 Mathematics topic from the chapter Quadratic Equations, students learn how to find the values of an unknown variable that satisfy a quadratic equation. They practise solving equations by factorisation, completing the square, and using the quadratic formula, while learning when each method is useful. The topic also develops skills in identifying coefficients, calculating the discriminant, checking solutions, and interpreting whether an equation has two, one, or no real roots.
Practice questions
If the roots of (x^2-12x-28=0) are (\alpha,\beta), what is (\alpha^2\beta+\alpha\beta^2)?If one root of (x^2+px+64=0) is double the other and both are negative, what is (p)?What is the difference between the roots of (x^2-13x+7=0)?What is the correct statement about real roots of (7x^2-14x+19=0)?Which completed square form is correct for (7x^2-14x+19=0)?If roots of (x^2-16x+48=0) are (\alpha,\beta), which equation has roots (\alpha+6,\beta+6)?If the roots of (x^2-26x+165=0) are (\alpha,\beta), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?If the quadratic equation \(kx^2-26x+169=0\) has equal roots, what is the value of \(k\)?What is (k) for equal roots of (x^2-2(k+7)x+k^2=0)?If ((x-7)(x-15)=26), what is the standard quadratic equation?What are the roots of (x^2-22x+79=0) by quadratic formula?