A teacher asks three students to complete the following statement about the nature of the roots of a quadratic equation.

If q^2-4pr>0, the roots of the quadratic equation 〖px〗^2+ax+r=0 will be...

Zain answers, "always positive".

Vipul answers, "positive, if p, q, and r are positive".

Suman answers, "negative, if p, q, and r are positive".

Who answered correctly?

(A) Zain 

(B) Vipul 

(C) Suman 

(D) (none of them)

 

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A teacher asks three students to complete the following statement about the nature of the roots of a quadratic equation. If 𝑞^2−4𝑝𝑟>0, the roots of the quadratic equation 〖𝑝𝑥〗^2+𝑎𝑥+𝑟=0 will be... Zain answers, "always positive". Vipul answers, "positive, if p, q, and r are positive". Suman answers, "negative, if p, q, and r are positive". Who answered correctly? (A) Zain (B) Vipul (C) Suman (D) (none of them)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.