Skip to content

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

Class 10 Mathematics Quadratic Equations Introduction to Quadratic EquationsHardLevel 30

0 reads0 ratings0 helpful

If (x=-4) is a root of the equation (2x^2+px-12=0), what is the value of (p)?

Answer and explanation

Correct answer: 5

A given root must make the equation equal to zero. Substituting (x=-4) gives (2(-4)^2+p(-4)-12=0), or (32-4p-12=0). Thus (20-4p=0), so (p=5). Option B results from a sign error and gives (p=-5). Exam tip: Substitute the given root directly into the quadratic equation to find the unknown parameter.

Related tags

Quadratic-Equations Root-Substitution Parameter Polynomial-Roots

Frequently asked questions

What is the correct answer to this question?

5

Why is this the correct answer?

A given root must make the equation equal to zero. Substituting (x=-4) gives (2(-4)^2+p(-4)-12=0), or (32-4p-12=0). Thus (20-4p=0), so (p=5). Option B results from a sign error and gives (p=-5). Exam tip: Substitute the given root directly into the quadratic equation to find the unknown parameter.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.

Student feedback

Was this question useful?

No ratings yetWrite a review / Rate this question

Was this question useful?

👍 0 Helpful 👎 0 Not helpful

Difficulty

Easy0%

Medium0%

Hard0%

Was the explanation clear?

Yes 0% No 0%

0 responses

Student Reviews

No published reviews yet.