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
Class 10MathematicsQuadratic EquationsNature of RootsHardLevel 39
0 reads0 ratings0 helpful

If (9x^2+12x+4=0), which statement about the nature of roots is correct?

Advertisement

Answer and explanation

Correct answer: Roots are real and equal

Here (D=12^2-4\cdot9\cdot4=0), so the roots are real and equal. In exams, (9x^2+12x+4) can also be recognized as ((3x+2)^2).

Related tags

Quadratic EquationsNature Of RootsPerfect Square

Frequently asked questions

What is the correct answer to this question?

Roots are real and equal

Why is this the correct answer?

Here (D=12^2-4\cdot9\cdot4=0), so the roots are real and equal. In exams, (9x^2+12x+4) can also be recognized as ((3x+2)^2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1If the discriminant D > 0 for a quadratic equation, what will be the nature of its roots?
  2. 2What is the discriminant D of 4x² + 4x + 1 = 0?
  3. 3What is the nature of the roots of x² + 6x + 9 = 0?
  4. 4If the roots of x² − 6x + k = 0 are equal, what is k?
  5. 5If the discriminant D = 49, what is the nature of the roots of the quadratic equation?
  6. 6If (D=64), what will be the nature of roots of the quadratic equation?
  7. 7Which equation has discriminant −15?
  8. 8If one root of x² + ax + 12 = 0 is 3, what are the other root and a?
  9. 9Which equation has discriminant −11?
  10. 10What is the nature of the roots of 4x² − 12x + 9 = 0?
Advertisement