Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects

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 \(\alpha,\beta\) are roots of \(2x^2-9x+4=0\), what is \((\alpha-\beta)^2\)?If (x^2-4x+n=0) has no real roots, which condition on (n) is correct?If (x^2-4x+n=0) has two distinct real roots, which condition on (n) is correct?Which of the following is the correct factorised form for solving the equation 2x² − 3x − 2 = 0?If x² + 4x + 1 = 0, which form is obtained by completing the square?What are the roots of the equation \(x^2+4x+1=0\)?If the roots of (x^2-2x-8=0) are (\alpha,\beta), what is (\alpha^2\beta+\alpha\beta^2)?If one root of (x^2+px+9=0) is double the other and both are negative, what is (p)?If one root of (x^2+px+9=0) is double the other and both are negative, what is the correct simplified value of (p)?What is the difference between the roots of (x^2-3x+1=0)?What is the correct statement about real roots of (2x^2-4x+5=0)?Which completed square form is correct for (2x^2-4x+5=0)?If roots of (x^2-6x+5=0) are (\alpha,\beta), which equation has roots (\alpha+1,\beta+1)?If the roots of (x^2-8x+15=0) are (\alpha,\beta), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?If the quadratic equation \(kx^2-6x+9=0\) has equal roots, what is the value of \(k\)?What is (k) for equal roots of (x^2-2(k+2)x+k^2=0)?If ((x-2)(x-5)=m) and (m=0), what are the solutions?If ((x-2)(x-5)=6), what is the standard quadratic equation?What are the roots of (x^2-7x+4=0) by quadratic formula?If (2x^2+8x+1=0) is solved by completing the square, which middle step is correct?