Question

compare the given quadratic equation to the general form and write values of the a,b,c.
$y2 = 7y$
​

Answer 1

Answer:

The values of a, b and c are 1, - 7 & 0 respectively.

Step-by-step-explanation:

The given quadratic equation is y² = 7y.

It can be written as -

y² - 7y = 0

→ y² - 7y + 0 = 0

Comparing with ax² + bx + c = 0, we get,

• a = 1

• b = - 7

• c = 0

∴ The values of a, b and c are 1, - 7 & 0 respectively.

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:

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