Question

Sum of the roots. Quadratic equation x2-4x=0. product of roots

Answer 1

Answer:

x² - 4x = 0

⇒ x(x - 4) = 0

⇒ x = 0

   OR

⇒ x - 4 = 0

⇒ x = 4

∴ x = 0   AND  x = 4

.

Answer 2

The sum of the roots is - 4 and the product of roots is = 0

Given:
Quadratic equation x²- 4x = 0

To find:  

The sum and the product of the roots.

Solution:  

Formula:

For a quadratic equation ax² + bx + c = 0,

Sum of the roots = -b/a

Product of roots = c/a

From the data,

Quadratic equation x²- 4x = 0  

Compare equation with ax² + bx + c = 0  

=> a = 1, b = - 4 and c = 0

Sum of the roots = -b/a = -4/1 = - 4  

Product of roots = c/a = 0/1 = 0

Therefore,

The sum of the roots is - 4 and the product of roots is = 0

   

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