Question

answer the following questions ​

Answer 1

Answer:

c) is the right answer

c

Answer 2

Question:

What are the values of a, b and c respectively for the following quadratic equation?

$\sf\:n\:-\:\dfrac{7}{2n}\:=\:4$

a) 2, 7, 8

b) 2, - 8, - 7

c) 2, - 8, 7

d) 2, 8, - 7

Answer:

b) 2, - 8, - 7 is the correct answer.

Step-by-step-explanation:

The given quadratic equation is

$\sf\:n\:-\:\dfrac{7}{2n}\:=\:4$.

$\therefore\sf\:n\:-\:\frac{7}{2n}\:=\:4\\\\\implies\sf\:2n^2\:-\:7\:=\:8n\:\:\:-\:-\:-\:[\:Multiplying\:by\:2n\:]\\\\\implies\sf\:2n^2\:-\:8n\:-\:7\:=\:0\\\\\sf\:Comparing\:with\:ax^2\:+\:bx\:+\:c\:=\:0\:,\:we\:get\:,\\\\\bullet\sf\:a\:=\:2\\\\\bullet\sf\:b\:=\:-\:8\\\\\bullet\sf\:c\:=\:-\:7\\\\\therefore\underline{\red{\sf\:Option\:b\:)\:2\:,\:-\:8\:,\:-\:7\:is\:the\:correct\:answer\:}}$

Additional Information:

1. Quadratic Equation

An equation having a degree '2' is called quadratic equation.

The general form of quadratic equation is

ax² + bx + c = 0

Where, a, b, c are real numbers and a ≠ 0.

2. Roots of Quadratic Equation:

The roots means nothing but the value of the variable given in the equation.

3. Methods of solving quadratic equation:

There are mainly three methods to solve or find the roots of the quadratic equation.

A) Factorization method

B) Completing square method

C) Formula method

4. Formula to solve quadratic equation:

$\boxed{\red{\sf\:x\:=\:\dfrac{-\:b\:\pm\:\sqrt{b^{2}\:-\:4ac}}{2a}}}$