Roots Of A Quadratic Equation
Akopọ
Every quadratic equation can be solved with a single formula, but the real power lies in knowing what kind of answer to expect before you even start solving. The discriminant tells you at a glance whether an equation has two distinct roots, one repeated root, or no real roots at all.
In this topic you will master the quadratic formula and learn to use the discriminant to classify the roots of any quadratic. You will also see how the discriminant connects to the shape of a parabola and tackle problems where the nature of the roots depends on an unknown parameter.
Awọn Afojusun
- Use the quadratic formula to solve quadratic equations
- Use the discriminant to identify whether the roots are equal real, unequal real or not real
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Oriire fun ipari ẹkọ lori Roots Of A Quadratic Equation. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
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- What is the discriminant of the equation 2x^2 + 3x - 5 = 0? A) -31 B) 49 C) 31 D) -49 Answer: B
- If the discriminant of a quadratic equation is zero, the equation has: A) Two distinct real roots B) No real roots C) Two equal real roots D) One positive and one negative root Answer: C
- For which value of k does x^2 + kx + 16 = 0 have equal roots? A) 4 B) 6 C) 8 D) 12 Answer: C
- The quadratic 3x^2 - x + 2 = 0 has: A) Two distinct real roots B) Two equal roots C) No real roots D) One real root Answer: C
- Which expression gives the discriminant of ax^2 + bx + c = 0? A) b^2 + 4ac B) b^2 - 4ac C) 4ac - b^2 D) b - 4ac Answer: B
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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Quadratic Equations
Solve quadratic equations by factoring.
"College Algebra: Quadratic Equations" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/college-algebra/pages/2-5-quadratic-equations. Access for free at https://openstax.org/books/college-algebra/pages/1-introduction
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